Welcome to UOS | University of Sargodha

Apply Online

Profile

Dr. Khuram Ali Khan has done PhD in Mathematics from Abdus Salam school of Mathematics, GC University Lahore, Pakistan in 2013, under the supervision of Croatian Academician Prof. Josip Pečarić.

Profile Links

Education

Year	Degree	Board / University
2013	PhD Mathematics -- (Doctorate Degree)	Abdus Salam School of Mathematical Sciences, GCU Lahore, PAKISTAN

Experience

From	To	Post Held	Organization
2003	Continue	Lecturer	University of Sargodha
2013	Continue	Assistant Professor	University of Sargodha
2021	Continue	Associate Professor	University of Sargodha

Research Interests

Mathematical inequalities

Difference equations

Time Scales Calculus

Mathematical Biology

Soft Set Theory

Fellowships

INDIGENOUS PHD 5000 FELLOWSHIP PROGRAM PHASE–V (2008) SPONSORED BY HEC ISLAMABAD, PAKISTAN

Publications

Research Journal

W. Ishaque, D. Qamar, K. A. Khan, M.M. Rostin , 2023 , Dynamics of Predator–Prey Model Based on Fear Effect with Bifurcation Analysis and Chaos Control , Qualitative Theory of Dynamical Systems , 23, 1, IF: 1.4 , Web Link : https://doi.org/10.1007/s12346-023-00878-w
R. Awais, A.K. Khuram, J. Pečarić, D. Pečarić , 2023 , Estimation of entropies on time scales by Lidstone's interpolation using Csiszár-type functional , Journal of Inequalities and Applications , 1, 124, IF: 1.6 , Web Link : https://doi.org/10.1186/s13660-023-03040-x
Asghar, A., Khan, K. A., Albahar, M. A., & Alammari, A. , 2023 , An optimized multi-attribute decision-making approach to construction supply chain management by using complex picture fuzzy soft set , PeerJ Computer Science , 1540, 1, IF: 3.8 , Web Link : https://peerj.com/articles/cs-1540/
Khan, K. A., Nosheen, A., Malik, S., Kashif, M., & Mabela, R. M. , 2023 , Generalizations of Steffensen’s Inequality for Higher Order Convex Functions Involving an Extension of Montgomery Identity on Time Scale , Inverse Problems in Science and Engineering 2023 , 31, 2214300, IF: 1.44 , Web Link : https://doi.org/10.1080/27690911.2023.2214300
Khan, K. A., Nosheen, A., Malik, S., Kashif, M., & Mabela, R. M. , 2023 , Interval Valued Jensen’s Inequalities for h-Convex Functions on Time Scales , Arab Journal of Basic and Applied Sciences , 30, 1, , Web Link : https://doi.org/10.1080/25765299.2023.2212428
Khan, K. A., Nosheen, A., Malik, S., Kashif, M., & Mabela, R. M. , 2023 , Interval Valued Jensen’s Inequalities for h-Convex Functions on Time Scales , Arab Journal of Basic and Applied Sciences , 30, 1, , Web Link : https://doi.org/10.1080/25765299.2023.2212428
Nosheen, A., Ijaz, S., Khan, K. A., Awan, K. M., Albahar, M. A., & Thanoon, M. , 2023 , Some New q-Symmetric Integral Inequalities Involving s-Convex Functions , Symmetry , 15, 6, , Web Link : https://doi.org/10.3390/sym15061169
Bilal, M., Khan, K. A., Nosheen, A., & Pečarić, J. , 2023 , Some inequalities related to Csiszar divergence via diamond Integral on Time Scales , Journal of Inequalities and Applications , 55, 1, , Web Link : https://doi.org/10.1186/s13660-023-02966-6
Nosheen, A., Awan, K. M., Khan, K. A., Ahmad, H., & Qadeer, A. T. , 2023 , Hardy-Leindler Type Inequalities For Multiple Integrals on Time Scales , Mathematica Slovaca , 73, 2, IF: 1.6 , Web Link : https://doi.org/10.1515/ms-2023-0028
Arshad, M., Saeed, M., Khan, K. A., Shah, N. A., Weera, W., & Chung, J. D. , 2023 , A robust MADM-approach to recruitment-based pattern recognition by using similarity measures of interval-valued fuzzy hypersoft set, , AIMS Mathematics , 8, 5, IF: 2.739 , Web Link : https://doi.org/10.3934/math.2023620
Bilal, M., Khan, K. A., Nosheen, A., & Pečarić, J. , 2023 , Generalization of Some Inequalities Containing Entropies on Time Scales , Qualitative Theory of Dynamical Systems , xxx, 1, , Web Link : https://doi.org/10.1007/s12346-023-00768-1
Bilal, M., Khan, K. A., Nosheen, A., & Pečarić, J. , 2023 , Estimation of divergence measures for Diamond Integrals via Greens function and Taylor’s polynomial , Research in Mathematics , 10, 1, , Web Link : https://doi.org/10.1080/27684830.2023.2179450
Ihsan, M., Saeed, M., Khan, K. A., & Nosheen, A. , 2023 , An algebraic approach to the variants of convexity for soft expert approximate function with intuitionistic fuzzy setting , Journal of Taibah University for Science , 17, 1, , Web Link : https://www.tandfonline.com/doi/full/10.1080/16583655.2023.2182144
Nasir, J., Qaisar, S., Butt, S. I., Khan, K. A., & Mabela, R. M. , 2023 , Some Simpson’s Riemann–Liouville Fractional Integral Inequalities with Applications to Special Functions , Journal of Function Spaces , 2022, 1, IF: 1.281 , Web Link : https://doi.org/10.1155/2022/2113742
Nosheen, A., Tariq, M., Khan, K. A., Shah, N. A., & Chung, J. D. , 2023 , On Caputo Fractional Derivatives and Caputo–Fabrizio Integral Operators via (s,m)-Convex Functions , Fractal Fractional , 7, 1, IF: 1.457 , Web Link : https://doi.org/10.3390/fractalfract7020187
Bilal, M., Khan, K. A., Nosheen, A., & Pečarić, J. , 2023 , Generalizations of Shannon type inequalities via diamond integrals on time scales , Journal of Inequalities and Applications , 24, 2023, , Web Link : https://doi.org/10.1186/s13660-023-02930-4
Nosheen, A., Saba, A., Khan, K. A., & Kahungu, M. K. , 2022 , h-Opial-Type Inequalities via Hahn Operators , Discrete Dynamics in Nature and Society , 2022, 1, IF: 1.457 , Web Link : https://doi.org/10.1155/2022/2650126
Khuram Ali Khan, Shaista Ayaz, Imdat Iscan, Nehad Ali Shah, Wajaree Weera , 2022 , Extensions of Holder-Iscan inequality via n-times Differentiable (s,m)–convex Functions , AIMS Mathematics , 8, 1, IF: 2.739 , Web Link : https://doi.org/10.3934/math.2023082
Wang, X., Khan, K. A., Ditta, A., Nosheen, A., Awan, K. M., & Mabela, R. M. , 2022 , New Developments on Ostrowski Type Inequalities via q-Fractional Integrals Involving s-Convex Functions , Journal of Function Spaces , 2022, 9742133, IF: 1.281 , Web Link : https://doi.org/10.1155/2022/9742133
Butt, S. I., Rashid, S., Javed, I., Khan, K. A., & Mabela, R. M. , 2022 , New Fractional Estimates of Simpson-Mercer Type for Twice Differentiable Mappings Pertaining to Mittag-Leffler Kernel , Journal of Function Spaces , 2022, 1, IF: 1.281 , Web Link : https://doi.org/10.1155/2022/4842344
Ali, S., Saif, M., Khan, K. A., Shah, N. A., & Weera, W. , 2022 , A Note on Varying G and L in Chern–Simons Modified Gravity , Symmetry , 14, 7, , Web Link : https://doi.org/10.3390/sym14071430
Rahman, A. U., Khan, K. A., Nosheen, A., Saeed, M., Botmart, T., & Shah, N. A. , 2022 , Ostrowski type inequalities via Montgomery identity involving double integrals on time scales , AIMS Mathematics , 7, 9, IF: 2.739 , Web Link : http://www.aimspress.com/article/doi/10.3934/math.2022913
Ansari, I., Khan, K. A., Nosheen, A., Pecaric, D., & PECARİC, J. , 2022 , Estimation of entropies on time scales by Lidstone's interpolation using Csiszár-type functional , Hacettepe J. Math Stat. , 51, 3, , Web Link : https://dergipark.org.tr/en/pub/hujms/issue/69920/971154
Butt, S. I., Nosheen, A., Nasir, J., Khan, K. A., & Matendo Mabela, R. , 2022 , New Fractional Mercer-Ostrowski Type Inequalities with respect to Monotone Function , Mathematical Problems in Engineering , 2022, 7067543, IF: 1.43 , Web Link : https://doi.org/10.1155/2022/7067543
Rahman, A. U., Saeed, M., Khan, K. A., Nosheen, A., & Mabela, R. M. , 2022 , An Algebraic Approach to Modular Inequalities Based on Interval-Valued Fuzzy Hypersoft Sets via Hypersoft Set-Inclusions , Journal of Function Spaces , 2022, 1, IF: 1.281 , Web Link : https://doi.org/10.1155/2022/1384541
Butt, S. I., Yousaf, S., Khan, K. A., Matendo Mabela, R., & Alsharif, A. M. , 2022 , Fejer-Pachpatte-Mercer-Type Inequalities for Harmonically Convex Functions Involving Exponential Function in Kernel , Mathematical Problems in Engineering , 2022, 1, IF: 1.43 , Web Link : https://doi.org/10.1155/2022/7269033
Adeel, M., Khan, K. A., Pečarić, Ð., & Pečarić, J. , 2022 , Estimation of f-divergence and Shannon entropy by Levinson type inequalities via Fink’s identity , FILOMAT , 36, 2, IF: 0.988 , Web Link : https://doi.org/10.2298/FIL2202527A
Malik, S., Khan, K. A., Nosheen, A., & Awan, K. M. , 2022 , Generalization of Montgomery identity via Taylor formula on time scales , ournal of Inequalities and Applications , 2022, 1, IF: 2.021 , Web Link : https://doi.org/10.1186/s13660-022-02759-3
Khan, K. A., Ditta, A., Nosheen, A., Awan, K. M., & Mabela, R. M. , 2022 , Ostrowski type inequalities for s-convex functions via q-integrals , Journal of Function Spaces , 2022, 8063803, IF: 1.281 , Web Link : https://doi.org/10.1155/2022/8063803
Ansari, I., Khan, K. A., Nosheen, A., Pečarić, Ð., & Pečarić, J. , 2021 , New entropic bounds on time scales via Hermite interpolating polynomial , ournal of Inequalities and Applications , 2021, 195, IF: 2.021 , Web Link : https://doi.org/10.1186/s13660-021-02730-8
Khan, K. A., Awan, K. M., Ditta, A., Nosheen, A., & Matendo, R. M. , 2021 , Extensions of Ostrowski type inequalities via h-integrals and s-convexity , Journal of Mathematics , 2021, 1, IF: 0.971 , Web Link : https://doi.org/10.1155/2021/2416819
Bilal, M., Khan, K. A., Ahmad, H., Nosheen, A., Awan, K. M., Askar, S., & Alharthi, M. , 2021 , Some Dynamic Inequalities via Diamond Integrals for Function of Several Variables , Fractal and Fractiona , 2021, 5, IF: 3.577 , Web Link : https://doi.org/10.3390/fractalfract5040207
Ali, S., Waheed, M. H., Asjad, M. I., Khan, K. A., Sitthiwirattham, T., & Promsakon, C. , 2021 , The Sharma–Mittal Model’s Implications on FRW Universe in Chern–Simons Gravity , Universe , 428, 7, IF: 2.813 , Web Link : https://doi.org/10.3390/universe7110428
Butt, S. I., Yousaf, S., Asghar, A., Khan, K. A., & Moradi, H. R. , 2021 , New Fractional Hermite–Hadamard–Mercer Inequalities for Harmonically Convex Function , Journal of Function Spaces , 2021, 5868326, IF: 1.281 , Web Link : https://doi.org/10.1155/2021/5868326
Wang, F., Hanif, U., Nosheen, A., Khan, K. A., Ahmad, H., & Nonlaopon, K. , 2021 , Some Hardy-type Inequalities for Convex Functions via Delta Fractional Integrals , FRACTALS , 30, 1, IF: 4.555 , Web Link : https://doi.org/10.1142/S0218348X22400047
Butt, S. I., Umar, M., Khan, K. A., Kashuri, A., & Emadifar, H. , 2021 , Fractional Hermite–Jensen–Mercer Integral Inequalities with respect to another Function and Application , Complexity , 2021, 9260828, IF: 2.121 , Web Link : https://doi.org/10.1155/2021/9260828
Adeel, M., Khan, K. A., Pečarić, Đ., & Pečarić, J. , 2021 , Entropy results for Levinson-type inequalities via Green functions and Hermite interpolating polynomial , Aequationes Mathematicae , 2021, 1, IF: 0.984 , Web Link : https://doi.org/10.1007/s00010-021-00845-3
Ansari, I., Khan, K. A., Nosheen, A., Pečarić, Ð., & Pečarić, J. , 2021 , Estimation of Divergences on time scales via Green function and Fink’s Identity , Advances in Difference Equations , 2021, 394, IF: 3.761 , Web Link : https://doi.org/10.1186/s13662-021-03550-2
Wenyan Jia, Muhammad Yussouf, Ghulam Farid, Khuram Ali Khan, , 2021 , Hadamard and Fejér–Hadamard Inequalities for -Convex Functions via Riemann–Liouville Fractional Integrals , Mathematical Problems in Engineering , 2021, 9945114, IF: 1.43 , Web Link : https://doi.org/10.1155/2021/9945114
Ansari, I., Khan, K. A., Nosheen, A., Pečarić, Ð., & Pečarić, J. , 2021 , Estimation of divergence measures on time scales via Taylor’s polynomial and Green’s function with applications in q-calculus , Advances in Difference Equations , 2021, 374, IF: 3.761 , Web Link : https://doi.org/10.1186/s13662-021-03528-0
Sarfraz Ali, Sabir Iqbal, Khuram Ali Khan, Hamid Reza Moradi , 2021 , Amended FRW Metric and Reyni Dark Energy Model , Advances in High Energy Physics , 2021, 1, IF: 1.771 , Web Link : https://doi.org/10.1155/2021/
Ansari, I., Khan, K. A., Nosheen, A., Pečarić, Ð., & Pečarić, J. , 2021 , Estimation of divergence measures via weighted Jensen inequality on time scales , Journal of Inequalities and Applications , 2021, 93, IF: 2.021 , Web Link : https://doi.org/10.1186/s13660-021-02630-x
Hanif, U., Nosheen, A., Bibi, R., Khan, K. A., & Moradi, H. R. , 2021 , Some Hardy-Type Inequalities for Superquadratic Functions via Delta Fractional Integrals , Mathematical Problems in Engineering , 2021, 1, IF: 1.43 , Web Link : https://doi.org/10.1155/2021/9939468
Nosheen, A., Aslam, A., Khan, K. A., Mahmood Awan, K., & Moradi, H. R. , 2021 , Multivariate Dynamic Sneak-Out Inequalities on Time Scales , Journal of Mathematics , 2021, 1, IF: 0.971 , Web Link : https://doi.org/10.1155/2021/9978050
Ahmed, D., Khan, K. A., & Nosheen, A. , 2021 , Inequalities of Hardy-type for Multiple Integrals on Time Scales , Journal of Prime Research in Mathematics , 2021, 1, , Web Link : http://jprm.sms.edu.pk/inequalities-of-hardy-type-for-multiple-integrals-on-time-scales/
Muhammad Adeel, Khuram Ali Khan, Dilda Pečarić and Josip Pečarić , 2021 , Estimation of f-divergence and Shannon entropy by Levinson type inequalities via Lidstone interpolating polynomial , Transactions of A. Razmadze Mathematical Institute, , 175, 1, , Web Link : http://www.rmi.ge/transactions/TRMI-volumes/175-1/175-1.html
Yussouf, M., Farid, G., Khan, K. A., & Jung, C. Y. , 2021 , Hadamard and Fejer-Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions , Journal of Mathematics , 2021, IF: 0.971 , Web Link : https://www.hindawi.com/journals/jmath/2021/5589405/
Siddique, N., Imran, M., Khan, K. A., & Pečarić, J. , 2020 , Difference equations related to majorization theorems via Montgomery identity and Green’s functions with application to the Shannon entropy , Advances in Difference Equations , 2020, IF: 2.803 , Web Link : https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-020-02884-7
Adil Khan, M., Khan, S., Ullah, I., Ali Khan, K., & Chu, Y. M. , 2020 , A novel approach to the Jensen gap through Taylor's theorem , Mathematical Methods in the Applied Sciences , 2020, 1, IF: 2.321 , Web Link : https://doi.org/10.1002/mma.6944
Ansari, I., Khan, K. A., Nosheen, A., Pečarić, Ð., & Pečarić, J. , 2020 , Some inequalities for Csiszar divergence via theory of time scales , Advances in Difference Equations , 2020, 1, IF: 2.803 , Web Link : https://doi.org/10.1186/s13662-020-03159-x
Khan, K. A., AWAN, K., Malik, S., & Nosheen, A. , 2020 , Extension of Montgomery identity via Taylor polynomial on time scales , Turkish Journal of Mathematics , 44, 5, IF: 0.803 , Web Link : https://doi.org/10.3906/mat-1906-11
Adeel, M., Khan, K. A., Pečarić, Ð., & Pečarić, J. , 2020 , Levinson-type Inequalities via new Green functions and Montgomery identity , Open Mathematics , 18, 1, IF: 0.963 , Web Link : https://www.degruyter.com/view/journals/math/18/1/article-p632.xml
Siddique, N., Imran, M., Khan, K. A., & Pečarić, J. , 2020 , Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy , Journal of Inequalities and Applications , 2020, 1, IF: 2.491 , Web Link : https://doi.org/10.1186/s13660-020-02455-0
Qiang, X., Farid, G., Yussouf, M., Khan, K. A., & Rahman, A. U. , 2020 , New Generalized Fractional Versions of Hadamard and Fejer Inequalities for Harmonically Convex Functions , Journal of Inequalities and Applications , 2020, 1, IF: 2.491 , Web Link : https://doi.org/10.1186/s13660-020-02457-y
Qiang, X., Farid, G., Yussouf, M., Khan, K. A., & Rahman, A. U. , 2020 , New Generalized Fractional Versions of Hadamard and Fejer Inequalities for Harmonically Convex Functions , Journal of Inequalities and Applications , 2020, 191, IF: 2.491 , Web Link : https://doi.org/10.1186/s13660-020-02457-y
Khan, K. A., Niaz, T., Pečarić, Đ., & Pečarić, J. , 2020 , Estimation of different entropies via Hermite interpolating polynomial using Jensen type functionals, , The Journal of Analysis , 1, 1, , Web Link : https://doi.org/10.1007/s41478-020-00245-x
Niaz, T. A. S. A. D. D. U. Q., Khan, K. A., & Pečarić, J. O. S. I. P. , 2020 , On Refinement of Jensen’s Inequality for 3-convex function at a point , Turkish J. Ineq. , 4, 1, , Web Link : http://www.tjinequality.com/volume-4/issue-1/
Muhammad Adeel, Khuram Ali Khan, Dilda Pečarić and Josip Pečarić , 2020 , Estimation of f-divergence and Shannon entropy by Levinson type inequalities for higher-order convex functions via Taylor polynomial , Journal of Mathematics and Computer Science , 21, 4, , Web Link : http://dx.doi.org/10.22436/jmcs.021.04.05
Muhammad Adeel, Khuram Ali Khan, Dilda Pečarić and Josip Pečarić , 2020 , Estimation of f-divergence and Shannon entropy by using Levinson type Inequalities for higher order convex functions via Hermite interpolating polynomial , Journal of Inequalities and Applications , 1, 1, IF: 2.491 , Web Link : https://doi.org/10.1186/s13660-020-02403-y
Mehmood, S., Farid, G., Khan, K. A., & Yussouf, M. , 2020 , New fractional Hadamard and Fejér-Hadamard inequalities associated with exponentially (h, m) convex functions , Engineering and Applied Science Letter , 3, 2, , Web Link : https://pisrt.org/psr-press/journals/easl/volume-3-2020-issue-2/
Mehmood, S., Farid, G., Khan, K. A., & Yussouf, M. , 2020 , New Hadamard and Fejér-Hadamard fractional inequalities for exponentially m-convex function , Engineering and Applied Science Letter , 3, 1, , Web Link : https://pisrt.org/psr-press/journals/easl/volume-3-2020-issue-1/
Ansari, I., Khan, K. A., Nosheen, A., Pečarić, Ð., & Pečarić, J. , 2020 , Shannon Type Inequalities via Time Scales Theory , Advances in Difference Equations , 1, 1, IF: 2.803 , Web Link : https://doi.org/10.1186/s13662-020-02587-z
Khan, K. A., Niaz, T., Pečarić, Đ., & Pečarić, J. , 2020 , Estimation of different entropies via Lidstone polynomial using Jensen type functionals , Arabian Journal of Mathematics , 1, 1, , Web Link : https://link.springer.com/article/10.1007%2Fs40065-020-00277-y
Muhammad Adeel, Khuram Ali Khan, Dilda Pečarić and Josip Pečarić , 2020 , Estimation of f-divergence and Shannon entropy by Levinson type inequalities via new Green functions and Lidstone polynomial , Advances in Difference Equations , 2020, 1, IF: 2.803 , Web Link : https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-020-2501-x
Moeed, H. A., Ahmed, D., Nosheen, A., & Khan, K. A. , 2020 , Hardy type Inequalities for Super quadratic Functions via Jackson Norlund Integrals , Journal of Mathematics and Computer Science , 2021, 1, , Web Link : http://dx.doi.org/10.22436/jmcs.023.03.04
Nosheen, A., Nawaz, A., Khan, K. A., & Awan, K. M. , 2019 , Multivariate Hardy and Littlewood Inequalities on Time Scales , Arab Journal of Mathematical Sciences , 26, 1, , Web Link : https://doi.org/10.1016/j.ajmsc.2019.12.003
Adeel, M., Khan, K. A., Pečarić, Ð., & Pečarić, J. , 2019 , Levinson type inequalities for higher order convex functions via Abel-Gontscharoff interpolation , Advances in Difference Equations , 1, 1, IF: 1.51 , Web Link : https://doi.org/10.1186/s13662-019-2360-5
Niaz, T., Khan, K. A., Pecaric, D., & Pecaric, J. , 2019 , Estimation of Different Entropies via Taylor One Point and Taylor Two Points Interpolations using Jensen Type Functionals , International Journal of Analysis and Applications , 17, 1, , Web Link : http://etamaths.com/index.php/ijaa/article/view/1961
Muhammad Adeel, Khuram Ali Khan, Dilda Pečarić and Josip Pečarić , 2019 , Generalization of Levinson inequality with application to information theory , Journal of Inequalities and Applications , 1, 1, IF: 1.136 , Web Link : https://doi.org/10.1186/s13660-019-2186-4
Ahmad, M., Awan, K. M., Hameed, S., Khan, K. A. , 2019 , Bivariate Montgomery identity for alpha diamond integrals , Advances in Difference Equations , 1, 1, IF: 1.51 , Web Link : https://doi.org/10.1186/s13662-019-2254-6
Ahmad, W., Khan, K. A., Nosheen, A., & Sultan, M. A. , 2019 , Leindler type inequalities for function of several variables on Time Scales , Punjab University Journal of Mathematics , 51, 8, , Web Link : http://pu.edu.pk/home/journal/pujm/V51_8_2019.html
Khan, A. R., Nasir, H., & Shirazi, S. S. , 2019 , Weighted Cebysev type inequalities for double integrals on time scale , Journal of inequalities and special functions , 10, 02, , Web Link : http://www.ilirias.com/jiasf/vol_10_issue_2.html
Ghulam Farid, Khuram Ali Khan, Atiq ur Rehman, Farooq Ahmed Shah, Asif Waheed and Sajid Mehmood , 2019 , On Caputo k -fractional derivatives and associated inequalities , IEEE Access , 7, 1, , Web Link : https://ieeexplore.ieee.org/document/8665895
Ashraf, M. S., Khan, K. A., & Nosheen, A. , 2019 , Hardy-Copson type inequalities on time scales for the functions of “n” independent variables , International Journal of Analysis and Applications , 17, 2, , Web Link : http://etamaths.com/index.php/ijaa/article/view/1776
Ullah, S., Farid, G., Khan, K. A., Waheed, A. , 2019 , Generalized fractional inequalities for quasi-convex functions , Advances in Difference Equations , 1, 1, IF: 1.51 , Web Link : https://doi.org/10.1186/s13662-019-1951-5
Khan, K. A., Niaz, T., Pečarić, Đ., & Pečarić, J. , 2018 , Estimation of different entropies via Abel–Gontscharoff Green functions and Fink’s identity using Jensen type functionals , Arab Journal of Mathematical Sciences , 26, , Web Link : https://doi.org/10.1016/j.ajmsc.2018.12.002
Khan, K. A., Niaz, T., Pec̆arić, Ð., & Pec̆arić, J. , 2018 , Refinement of Jensen's Inequality and Estimation of f- and Renyi Divergence via Montgomery identity , Journal of Inequalities and Applications , 1, 1, , Web Link : https://doi.org/10.1186/s13660-018-1902-9
Farid, G., Khan, K. A., Latif, N., Rehman, A. U. , 2018 , General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function , Journal of inequalities and Applications , 1, 1, , Web Link : https://doi.org/10.1186/s13660-018-1830-8
Ashraf, N., Khan, K. A., Mobeen, S., & Nosheen, A. , 2018 , Inequalities of Hardy type for Jackson Norlund integrals , Communications in Mathematics and Applications , 1, 1, , Web Link : https://www.rgnpublications.com/journals/index.php/cma/article/view/809
Niaz, T., Khan, K. A., & Pečarić, J. , 2017 , On Generalization of Refinement of Jensen's Inequality using Fink's Identity and Abel-Gontcharoff Green function , Journal of Inequalities and Applications , 1, , Web Link : https://doi.org/10.1186/s13660-017-1521-x
Butt, S. I., Khan, K. A., Pecaric, D., & Pecaric, J. , 2017 , Combinatorial Improvement of Shannon Inequality and related results , Journal of Mathematical Analysis , 8, 4, , Web Link : http://www.ilirias.com/jma/vol_8_issue_4.html
Ali Khan, K., Khan, M. A., & Sadaf, U. , 2017 , New Refinement of Jensen-Mercer's Operator inequality and applications to means , Punjab University Journal of Mathematics , 49, 2, , Web Link : http://pu.edu.pk/home/journal/pujm/V49_2_2017.html
Abbas, G., Farid, G., Khan, K. A., & Rehman, A. U. , 2017 , Generalized fractional integral inequalities for harmonically convex functions , Journal of Mathematical Analysis , 8, 4, , Web Link : http://www.ilirias.com/jma/vol_8_issue_4.html
Ghulam Abbas, Khuram Ali Khan, Ghulam Farid and Atiq Ur Rehman , 2017 , Generalizations of some Integral Inequalities via Generalized Mittag-Leffler Function , Journal of Inequalities and Applications , 1, 1, , Web Link : https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-017-1389-9
Butt, S. I., & Pecaric, J. , 2017 , Generalization of Popoviciu Type Inequalities via Abel-Gontscharoff Interpolating Polynomial , J. Math. Comput. Sci. , 7, 2, , Web Link : http://scik.org/index.php/jmcs/article/view/2028
Butt, S. I., Khan, K. A., & Pecaric, J. , 2016 , Popoviciu type inequalities via Hermite’s polynomial , Mathematical Inequalities and Applications , 19, 4, , Web Link : https://dx.doi.org/10.7153/mia-19-96
Khan, K. A., Niaz, T., & Pečarić, J. , 2016 , Integral form of Popoviciu inequality for convex function , Proceedings of the Pakistan Academy of Sciences , 53, 3, , Web Link : https://www.paspk.org/proceeding/proc-of-the-pas-a-53-no-3/
Horvath, L., Khan, K., & Pecaric, J. , 2016 , Cyclic refinements of the different versions of operator Jensen's Inequality , Electronic Journal of Linear Algebra , 31, 31, , Web Link : http://dx.doi.org/10.13001/1081-3810.3098
Butt, S. I., Khan, K. A., & Pecaric, J. , 2016 , Popoviciu type inequalities via Green function and Taylor polynomial , Turk. J. Math , 40, 2, , Web Link : 10.3906/mat-1501-38
Horváth, L., Khan, K. A., & Pečarić, J. , 2016 , Cyclic refinements of the discrete and integral form of Jensen's inequality with applications , International mathematical journal of analysis and its applications , 36, 4, , Web Link : https://www.degruyter.com/view/journals/anly/36/4/article-p253.xml
Brnetic, I., Khan, K. A., & Pecaric, J. , 2015 , Refinement of Jensen's Inequality With Applications to Cyclic Mixed Symmetric Means And Cauchy Means , Journal of Mathematical Inequalities , 9, 4, , Web Link : dx.doi.org/10.7153/jmi-09-100
Adil Khan, M., Ali Khan, G., Jameel, M., Khan, K. A., & Kilicman, A. , 2015 , New refinements of Jensen-Mercer's inequality , Journal of Computational and Theoretical Nanoscience , 12, 1, , Web Link : https://doi.org/10.1166/jctn.2015.4382
Butt, S. I., Khan, K. A., & Pecaric, J. , 2015 , Popoviciu type inequalities via Green function and generalized Montgomery identity , Mathematical Inequalities and Applications , 18, 4, , Web Link : http://mia.ele-math.com/18-118/Popoviciu-type-inequalities-via-Green-function-and-generalized-Montgomery-identity
Horváth, L., Khan, K. A., & Pečarić, J. , 2015 , Refinement of Determinantal Inequalities of Jensen's Type , Eurasian Mathematical Journal , 6, 3, , Web Link : https://emj.enu.kz/main/archive/issues-part/23?id=6&volume=6&number=3&year=2015
Horváth, L., Khan, K. A., & Pečarić, J. , 2015 , Refinement of Determinantal Inequalities of Jensen's Type , Eurasian Mathematical Journal , 6, 3, , Web Link : https://emj.enu.kz/main/archive/issues-part/23?id=6&volume=6&number=3&year=2015
Horváth, L., Khan, K. A., & Pečarić, J. , 2015 , Refinement of Determinantal Inequalities of Jensen's Type , Eurasian Mathematical Journal , 6, 3, , Web Link : https://emj.enu.kz/main/archive/issues-part/23?id=6&volume=6&number=3&year=2015
Butt, S. I., Khan, K. A., & Pecaric, J. , 2015 , Generalization of Popoviciu inequality for higher order convex functions via Taylor polynomial , Acta Universitatis Apulensis Seria Mathematics-Informatics , 1, 2, , Web Link : 10.17114/j.aua.2015.42.12
Khan, K. A., & PEČARIĆ, J. , 2015 , Cyclic Refinement of Beck’s Inequalities , Proc. A. Razmadze Math , 169, 1, , Web Link : http://rmi.tsu.ge/proceedings/volumes/169.htm
Pecaric, J., Khan, K. A., & Peric, I. , 2014 , Generalization of Popoviciu Type Inequalities for Symmetric Means Generated by Convex Functions , J. Math. Comput. Sci. , 4, 1, , Web Link : http://scik.org/index.php/jmcs/article/view/1886
Din, Q., Khan, K. A., & Nosheen, A. , 2014 , Stability Analysis of a System of Exponential Difference Equations , Discrete Dynamics in Nature and Society , 2014, 1, , Web Link : http://dx.doi.org/10.1155/2014/375890
Horváth, L., Khan, K. A., & Pecaric, J. , 2014 , Refinement of Jensen's Inequality for Operator Convex Functions , Adv. Inequal. Appl. , 2014, 1, , Web Link : https://scik.org/index.php/aia/article/view/1718
Khan, K. A., Nosheen, A., & Pecaric, J. , 2014 , n-exponential Convexity of some dynamic Hardy-type functionals , journal of Mathematical Inequalities , 8, 1, , Web Link : http://jmi.ele-math.com/08-24/n-exponential-convexity-of-some-dynamic-Hardy-type-functionals
Din, Q., Ibrahim, T. F., & Khan, K. A. , 2014 , Behavior of a competitive system of second-order difference equations , The Scientific World Journal , 2014, 1, , Web Link : http://www.hindawi.com/journals/tswj/2014/283982/
Khan, K. A., Niculescu, C. P., & Pečarić, J. , 2013 , A Note on Popoviciu Inequality for 2D-Convex Functions , Annals of the University of Craiova, Mathematics and Computer Science Series , 40, 2, , Web Link : http://inf.ucv.ro/~ami/index.php/ami/article/view/574
Horváth, L., Khan, K. A., & Pecaric, J. , 2013 , New Refinements of Holder and Minkowski inequalities with weights , Proc. A. Razmadze Math. Inst. , 161, 1, , Web Link : https://rmi.tsu.ge/proceedings/volumes/161.htm
Khan, K. A., & Pecaric, J. , 2013 , Mixed Symmetric Means Related to the Classical Jensen's Inequality , Journal of Mathematical Inequalities , 7, 1, , Web Link : http://files.ele-math.com/articles/jmi-07-05.pdf
Horvath, L., Khan, K. A., & Pecaric, J. , 2012 , On Parameter Dependent Refinement of Discrete Jensen's Inequality for Operator Convex Functions , J. Math. Comput. Sci. , 2, 2012, , Web Link : http://www.scik.org/index.php/jmcs/article/view/161
Horvath, L., Khan, K. A., & Pecaric, J. , 2012 , Further Refinement of Results about Mixed Symmetric Means and Cauchy Means , Advances in Inequalities and Applications , 1, 1, , Web Link : http://scik.org/index.php/aia/article/view/347
Horváth, L., Khan, K. A., & Pecaric, J. , 2012 , Refinements of Hölder and Minkowski inequalities with weights , Proc. A. Razmadze Math. Inst. , 158, 2012, , Web Link : http://www.rmi.ge/proceedings/volumes/158.htm
Horváth, L., Khan, K., & Pečarić, J. , 2011 , Refinements of Results about Weighted Mixed Symmetric Means and Related Cauchy Means , Journal of Inequalities and Applications , 2011, 1, , Web Link : http://www.journalofinequalitiesandapplications.com/content/2011/1/350973
Khan, K., Pečarić, J., & Perić, I. , 2010 , Differences of Weighted Mixed Symmetric Means and Related Results , Journal of Inequalities and Applications , 2010, 1, IF: 0.879 , Web Link : http://www.journalofinequalitiesandapplications.com/content/2010/1/289730

Profile

Profile Links

Education

Experience

Research Interests

Fellowships

Publications

Research Journal

Important Links

Faculty

Profile

Profile Links

Education

Experience

Research Interests

Fellowships

Publications

Research Journal

Important Links

Faculty

Alert!