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atiq [2021/09/05 18:16] – Administratoratiq [2024/02/14 09:23] (current) – Administrator
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 <WRAP indent> <WRAP indent>
 **Atiq ur Rehman, PhD**\\ **Atiq ur Rehman, PhD**\\
-Assistant Professor\\+Associate Professor (Tenured)\\
 Department of Mathematics\\ Department of Mathematics\\
 COMSATS University Islamabad, Attock Campus\\ COMSATS University Islamabad, Attock Campus\\
Line 18: Line 18:
 **Field of Research:** Difference and functional equations, Real functions, Inequalities in monotonic and convex functions **Field of Research:** Difference and functional equations, Real functions, Inequalities in monotonic and convex functions
  
-  * See profile at [[http://www.ams.org/mathscinet/MRAuthorID/845724|mathscinet]]+  * See profile at [[https://mathscinet.ams.org/mathscinet/MRAuthorID/845724|mathscinet]]
   * See profile at [[http://www.scopus.com/authid/detail.url?authorId=7006197515|Scopus]]   * See profile at [[http://www.scopus.com/authid/detail.url?authorId=7006197515|Scopus]]
-  * See profile at [[http://ww3.comsats.edu.pk/faculty/FacultyDetails.aspx?Uid=18864|COMSATS Attock Website]]+  * See profile at [[http://ww2.comsats.edu.pk/faculty/FacultyDetails.aspx?Uid=18864|CUI, Attock Website]]
   * See profile at [[https://orcid.org/0000-0002-7368-0700|ORCID Website]]   * See profile at [[https://orcid.org/0000-0002-7368-0700|ORCID Website]]
  
 <button collapse="articles">Research Article</button> <button collapse="articles">Research Article</button>
 <collapse id="articles" collapsed="true"><well>   <collapse id="articles" collapsed="true"><well>  
-  - G. Farid, A.U. Rehman, S. Ullah, A. Nosheen, M. Waseem and Y. Mehboob, Opial-type inequalities for convex functions and associated results in fractional calculus, Advanced in Difference Equations, 2019:152 (2019), 1-13. + 
-  - A.U.Rehman, G. Farid, W. Iqbal, More about Petrović’s inequality on coordinates via m-convex functions and related results. Kragujevac Journal of Mathematics, 44(3) (2020), 335-351. +53. Ghulam Farid, Atiq Ur Rehman, Sidra Bibi and Yu-Ming Chu, Refinements of two fractional versions of Hadamard inequalities for Caputo fractional derivatives and related results, Open Journal of Mathematical Sciences, 5 (2021), 1-10. 
-  - Asif Waheed, A. U. Rehman, M. I. Qureshi, F. A. Shah, K. A. Khan, and G. Farid, On Caputo k-fractional derivatives and associated inequalities, IEEE Access, 7 (2019), 32137-32145. + 
-  - A. Ur Rehman, G. Farid, Vishnu Narayan Mishra, Generalized convex function and associated Petrovic’s inequality, International Journal of Analysis and Applications 17(1) (2019), 122-131. +52. Atiq Ur Rehman, Ghulam Farid, Sidra Bibi, Chahn Yong Jung and Shin Min Kang, k-Fractional integral inequalities of Hadamard type for exponentially (s, m)-convex functions, AIMS Mathematics, 6(1) (2021), 882–892. 
-  - G. Farid, A. Javed, A.U. Rehman, Fractional integral inequalities of Hadamard-type for m-convex functions via Caputo k-fractional derivatives, Journal of Fractional Calculus and Applications, 10(1) (2019), 120-134. + 
-  - G. Farid, A. Ur Rehman, and S. Mehmood, Hadamard and Fejer-Hadamard type integral inequalities for harmonically convex functions via an extended generalized Mittag-Leffler function, Journal of Mathematical and Computational Science, 8(5) (2018), 630-643. +51. A.U. Rehman, G. Farid and Y. Mehboob, Mean value theorems associated to the differences of Opial–type inequalities and their fractional versions, Fractional Differential Calculus, 10(2) (2020), 213-224. 
-  - Ghulam Farid, Atiq Ur Rehman, Moquddsa Zahra, On Generalizations of Hadamard Inequalities for Fractional Integrals, Iranian Journal of Mathematical Sciences and Informatics, 13(2) (2018), 71-81. + 
-  - G. Farid, K.A. Khan, N.Latif, A.U.Rehman and S. Mehmood, General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function, Journal of Inequalities and Applications, 2018 Art. ID 243 (2018), 12pp. +50. X. Qiang, G. Farid, M. Yussouf, K.A. Khan and A.U. Rahman, New generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions, Journal of Inequalities and Applications, 2020:191 (2020), 1-13. 
-  - Atiq Ur Rehman, Ghulam Farid and Qurat ul Ain, Hadamard and Fejér Hadamard inequalities for (h−m)−convex functions via fractional integral containing the generalized Mittag-Leffler function, Journal of Scientific Research & Reports, 18(5) (2018), 1-8. + 
-  - Asif Waheed, Ghulam Farid, Atiq Ur Rehman, Waqas Ayub, k-Fractional integral inequalities for harmonically convex functions via caputo k-fractional derivatives, Bull. Math. Anal. Appl. 10(1) (2018), 55-67. +49. Atiq ur Rehman, Ghulam Farid and Wasim Iqbal, More about Petrović’s inequality on coordinates via m-convex functions and related results, Kragujevac Journal of Mathematics, 44(3) (2020), 335-351. 
-  - Atiq Ur Rehman, M. Hassaan Akbar and G. Farid, On Giaccardi’S inequality and associated functional in the plane, Int. J. Analysis Appl. 16(2) (2018), 178-192. + 
-  - Atiq Ur Rehman, G. Farid and Qurat Ul Ain, Hermite-Hadamard Type Inequalities For (h−m)−Convexity, Electron J. Math. Anal. Appl.  6(2) (2018), 317-329. +48. G. Farid, A.U. Rehman, Q. Ain, K-fractional integral inequalities of Hadamard type for (h − m)−convex functions. Computational Methods for Differential Equations, 8(1) (2020), 119-140. 
-  - Ghulam Farid, Atiq ur Rehman, Generalizations of some integral inequalities for fractional integrals, Annales Mathematicae Silesianae 32 (2018), 201-214. + 
-  - G. Abbas, G. Farid, K.A. Khan, A.U. Rehman, Generalized fractional integral inequalities for harmonically convex functions, Journal of Mathematical Analysis, 8(4) (2017), 1-16. +47. Z. Chen, G. Farid, A. U. Rehman and N. Latif, Estimations of fractional integral operators for convex functions and related results, Advances in Difference Equations, 2020:163, (2020), 1-18. 
-  - Waqas Ayub, Ghulam Farid and Atiq Ur Rehman, Generalization of the Fejer-Hadamard type inequalities for p-convex functions via k-fractional integrals, Communication in Mathematical Modeling and Applications, 2(3) (2017), 1-15. + 
-  - G. Farid, A. Javed, Atiq ur Rehman, On Hadamard inequalities for n-times differentiable functions which are relative convex via Caputo k-fractional derivatives, Nonlinear Analysis Forum 22(2) (2017), 17–28. +46. L. N. Mishra, Q. U. Ain, G. Farid, and A. U. Rehman, k-Fractional integral inequalities for (h - m)-convex functions via Caputo k-fractional derivatives, Korean Journal of Mathematics, 27(2) (2019), 357–374. 
-  - G. Farid, Atiq ur Rehman, M. Usman, Ostrowski type fractional integral inequalities for s-Godunova-Levin functions via k-fractional integrals, Proyecciones J. Math. 36(4) (2017), 753-767.  + 
-  - Ghulam Farid, Atiq ur Rehman, Bushra Tariq, On Hadamard-type inequalities for m-convex functions via Riemann-Liouville fractional integrals, Stud. Univ. Babe¸ s-Bolyai Math. 62(2) (2017), 141–150 +45. G. Farid, A.U. Rehman, S. Ullah, A. Nosheen, M. Waseem and Y. Mehboob, Opial-type inequalities for convex functions and associated results in fractional calculus, Advanced in Difference Equations, 2019:152 (2019), 1-13. 
-  - Ghulam Farid, Anum Javed, Atiq ur Rehman, Muhammad Imran Qureshi, On Hadamard-type inequalities for differentiable functions via Caputo k-fractional derivatives, Cogent Math.  4  Article ID 1355429 (2017), 12 pp. + 
-  - Ghulam Abbas, Khuram Ali Khan, Ghulam Farid, Atiq Ur Rehman, Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function, J. Inequal. Appl., 2017,  Article ID 121, (2017), 10 pp. +44. G. Farid, A. U. Rehman, V.N. Mishra, S. Mehmood, Fractional integral inequalities of Gruss type via generalized Mittag-Leffler function, International Journal of Analysis and Applications, 17 (4) (2019), 548-558. 
-  - Ghulam Farid, Atiq Ur Rehman, Summiya Rafique, More on Ostrowski and Ostrowski-Gruss type inequlities, Communications in Optimization Theory, 2017 (2017), Article ID 15, pp. 1-9.  + 
-  - G. Farid, A. U. Rehman, B. Tariq, A. Waheed, On Hadamard type inequalities for m-convex functions via fractional integrals, J. Inequal. Spec. Funct. 7(4) (2016), 150-167. +43. Asif Waheed, A. U. Rehman, M. I. Qureshi, F. A. Shah, K. A. Khan, and G. Farid, On Caputo k-fractional derivatives and associated inequalities, IEEE Access, 7 (2019), 32137-32145. 
-  - Atiq Ur Rehman, Gulam Farid, Moquddsa Zahra, On Hadamard-type inequalities for k-fractional integrals, Konuralp J. Math. 4(2) (2016), 79-86. + 
-  - Atiq Ur Rehman, Gulam Farid, Sidra Malik, A generalized Hermite-Hadamard inequality for coordinated convex function and some associated mappings, Journal of Mathematics, 2016 Article ID 1631269, (2016), 9 pp. +42. A. Ur Rehman, G. Farid, Vishnu Narayan Mishra, Generalized convex function and associated Petrovic’s inequality, International Journal of Analysis and Applications 17(1) (2019), 122-131. 
-  - Ghulam Farid, Atiq ur Rehman and Moquddsa Zahra, On Hadamard Inequalities for relative convex functions via fractional integrals, Nonlinear Anal. Forum 21(1) (2016), 77–86. + 
-  - Ghulam Farid, Atiq ur Rehman, and Moquddsa Zahra. On Hadamard inequalities for k-fractional integrals, Nonlinear Funct. Anal. Appl. 21(3) (2016), 463–478. +41. G. Farid, A. Javed, A.U. Rehman, Fractional integral inequalities of Hadamard-type for m-convex functions via Caputo k-fractional derivatives, Journal of Fractional Calculus and Applications, 10(1) (2019), 120-134. 
-  - Atiq Ur Rehman, Muhammad Mudessir, Hafiza Tahira Fazal, and Ghulam Farid. Petrović’s inequality on coordinates and related results, Cogent Math. 3(1) Article ID 1227298 (2016), 11 pp. + 
-  - G. Farid, Atiq Ur Rehman and J. Pečarić, On generalization of K-divergence, its order relation with J-divergence and related results, Proyecciones, 35(4) (2016), 383–395. +40. G. Farid, A. Ur Rehman, and S. Mehmood, Hadamard and Fejer-Hadamard type integral inequalities for harmonically convex functions via an extended generalized Mittag-Leffler function, Journal of Mathematical and Computational Science, 8(5) (2018), 630-643. 
-  - Atiq ur Rehman, and Ghulam Farid, On Chebyshev Functional and Ostrowski-Gruss Type Inequalities for Two Coordinates, Int. J. Analysis Appl. 12(2) (2016), 180-187. + 
-  - G. Farid, and Atiq ur Rehman, Generalization of the Fejér-Hadamard’s Inequality for Convex Function on Coordinates, Commun. Korean Math. Soc. 31(1) (2016), 53–64. +39. Ghulam Farid, Atiq Ur Rehman, Moquddsa Zahra, On Generalizations of Hadamard Inequalities for Fractional Integrals, Iranian Journal of Mathematical Sciences and Informatics, 13(2) (2018), 71-81. 
-  - G. Farid, M. Marwan, and A. U. Rehman, Fejer-Hadamard inequality for convex functions on the coordinates in a rectangle from the plane, Int. J. Analysis Appl. 10(1) (2016), 40-47. + 
-  - G. Farid, M. Marwan and Atiq ur Rehman, New mean value theorems and generalization of Hadamard inequality via coordinated m-convex functions, J. Inequal. Appl. 2015 Article ID 283 (2015), 11pp. +38. G. Farid, K.A. Khan, N.Latif, A.U.Rehman and S. Mehmood, General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function, Journal of Inequalities and Applications, 2018 Art. ID 243 (2018), 12pp. 
-  - K.M. Awan, J. Pečarić, Atiq ur Rehman, Steffensen’s generalization of Chebyshev inequality, J. Math. Inequal. 9 (1) (2015), 155-163. + 
-  - S.I. Butt, J. Pečarić, Atiq ur Rehman, Non–symmetric Stolarsky means, J. Math. Inequal. 7(2) (2013), 227-237.  +37. Atiq Ur Rehman, Ghulam Farid and Qurat ul Ain, Hadamard and Fejér Hadamard inequalities for (h−m)−convex functions via fractional integral containing the generalized Mittag-Leffler function, Journal of Scientific Research & Reports, 18(5) (2018), 1-8. 
-  - J. Pečarić , Atiq Ur Rehman, On Logarithmic Convexity for Giaccardi's Difference, Rad HAZU 515 (2013), 1–10. + 
-  - J. Pečarić, Atiq ur Rehman, Giaccardi's inequality for convex-concave antisymmetric functions and applications, Southeast Asian Bull. Math. 36 (2012), 863–874. +36. Asif Waheed, Ghulam Farid, Atiq Ur Rehman, Waqas Ayub, k-Fractional integral inequalities for harmonically convex functions via caputo k-fractional derivatives, Bull. Math. Anal. Appl. 10(1) (2018), 55-67. 
-  - S.I. Butt, J. Pečarić, Atiq ur Rehman, Exponential convexity for Petrović and related functionals, J. Inequal. Appl. 2011 Article ID 89 (2011), 16 pp. + 
-  - J. Pečarić, Atiq ur Rehman, On Exponential Convexity for Power Sums and Related Results, J. Math.  Inequal. 5(2) (2011), 265–274. +35. Atiq Ur Rehman, M. Hassaan Akbar and G. Farid, On Giaccardi’S inequality and associated functional in the plane, Int. J. Analysis Appl. 16(2) (2018), 178-192. 
-  - G. Farid, J. Pečarić, Atiq ur Rehman, On Refinements of Aczél, Popoviciu, Bellman's Inequalities and Related Results, J. Inequal. Appl. 2010, Article ID 579567 (2010), 17 pp. + 
-  - J. Jakšetic, J. Pečarić, Atiq ur Rehman, On Stolarsky and related means, Math. Inequal. Appl. 13(4) (2010), 899–909.   +34. Atiq Ur Rehman, G. Farid and Qurat Ul Ain, Hermite-Hadamard Type Inequalities For (h−m)−Convexity, Electron J. Math. Anal. Appl.  6(2) (2018), 317-329. 
-  - M. Anwar, J. Jakšetic, J. Pečarić, Atiq ur Rehman, Exponential convexity, positive semi-definite matrices and fundamental inequalities, J. Math. Inequal. 4(2) (2010), 171–189. + 
-  - J. Jakšetic, J. Pečarić, Atiq ur Rehman, Cauchy means involving Chebyshev functional, Proc. A. Razmadze Math. Inst. 151 (2009), 43–54. +33. Ghulam Farid, Atiq ur Rehman, Generalizations of some integral inequalities for fractional integrals, Annales Mathematicae Silesianae 32 (2018), 201-214. 
-  - J. Pečarić, Atiq ur Rehman, Cauchy means introduced by an inequality of Levin and Steckin, East J. Approx. 15(4) (2009), 515–524. + 
-  - J. Pečarić, Atiq ur Rehman, On logarithmic convexity for power sums and related results, J. Inequal. Appl., 2008, Article ID 389410 (2008), 9 pp. +32. G. Abbas, G. Farid, K.A. Khan, A.U. Rehman, Generalized fractional integral inequalities for harmonically convex functions, Journal of Mathematical Analysis, 8(4) (2017), 1-16. 
-  - J. Pečarić, Atiq ur Rehman, On logarithmic convexity for power sums and related results. II, J. Inequal. Appl. 2008, Art. ID 305623 (2008), 12 pp.+ 
 +31. Waqas Ayub, Ghulam Farid and Atiq Ur Rehman, Generalization of the Fejer-Hadamard type inequalities for p-convex functions via k-fractional integrals, Communication in Mathematical Modeling and Applications, 2(3) (2017), 1-15. 
 + 
 +30. G. Farid, A. Javed, Atiq ur Rehman, On Hadamard inequalities for n-times differentiable functions which are relative convex via Caputo k-fractional derivatives, Nonlinear Analysis Forum 22(2) (2017), 17–28. 
 + 
 +29. G. Farid, Atiq ur Rehman, M. Usman, Ostrowski type fractional integral inequalities for s-Godunova-Levin functions via k-fractional integrals, Proyecciones J. Math. 36(4) (2017), 753-767.  
 + 
 +28. Ghulam Farid, Atiq ur Rehman, Bushra Tariq, On Hadamard-type inequalities for m-convex functions via Riemann-Liouville fractional integrals, Stud. Univ. Babe¸ s-Bolyai Math. 62(2) (2017), 141–150. 
 + 
 +27. Ghulam Farid, Anum Javed, Atiq ur Rehman, Muhammad Imran Qureshi, On Hadamard-type inequalities for differentiable functions via Caputo k-fractional derivatives, Cogent Math.  4  Article ID 1355429 (2017), 12 pp. 
 + 
 +26. Ghulam Abbas, Khuram Ali Khan, Ghulam Farid, Atiq Ur Rehman, Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function, J. Inequal. Appl., 2017,  Article ID 121, (2017), 10 pp. 
 + 
 +25. Ghulam Farid, Atiq Ur Rehman, Summiya Rafique, More on Ostrowski and Ostrowski-Gruss type inequlities, Communications in Optimization Theory, 2017 (2017), Article ID 15, pp. 1-9.  
 + 
 +24. G. Farid, A. U. Rehman, B. Tariq, A. Waheed, On Hadamard type inequalities for m-convex functions via fractional integrals, J. Inequal. Spec. Funct. 7(4) (2016), 150-167. 
 + 
 +23. Atiq Ur Rehman, Gulam Farid, Moquddsa Zahra, On Hadamard-type inequalities for k-fractional integrals, Konuralp J. Math. 4(2) (2016), 79-86. 
 + 
 +22. Atiq Ur Rehman, Gulam Farid, Sidra Malik, A generalized Hermite-Hadamard inequality for coordinated convex function and some associated mappings, Journal of Mathematics, 2016 Article ID 1631269, (2016), 9 pp. 
 + 
 +21. Ghulam Farid, Atiq ur Rehman and Moquddsa Zahra, On Hadamard Inequalities for relative convex functions via fractional integrals, Nonlinear Anal. Forum 21(1) (2016), 77–86. 
 + 
 +20. Ghulam Farid, Atiq ur Rehman, and Moquddsa Zahra. On Hadamard inequalities for k-fractional integrals, Nonlinear Funct. Anal. Appl. 21(3) (2016), 463–478. 
 + 
 +19. Atiq Ur Rehman, Muhammad Mudessir, Hafiza Tahira Fazal, and Ghulam Farid. Petrović’s inequality on coordinates and related results, Cogent Math. 3(1) Article ID 1227298 (2016), 11 pp. 
 + 
 +18. G. Farid, Atiq Ur Rehman and J. Pečarić, On generalization of K-divergence, its order relation with J-divergence and related results, Proyecciones, 35(4) (2016), 383–395. 
 + 
 +17. Atiq ur Rehman, and Ghulam Farid, On Chebyshev Functional and Ostrowski-Gruss Type Inequalities for Two Coordinates, Int. J. Analysis Appl. 12(2) (2016), 180-187. 
 + 
 +16. G. Farid, and Atiq ur Rehman, Generalization of the Fejér-Hadamard’s Inequality for Convex Function on Coordinates, Commun. Korean Math. Soc. 31(1) (2016), 53–64. 
 + 
 +15. G. Farid, M. Marwan, and A. U. Rehman, Fejer-Hadamard inequality for convex functions on the coordinates in a rectangle from the plane, Int. J. Analysis Appl. 10(1) (2016), 40-47. 
 + 
 +14. G. Farid, M. Marwan and Atiq ur Rehman, New mean value theorems and generalization of Hadamard inequality via coordinated m-convex functions, J. Inequal. Appl. 2015 Article ID 283 (2015), 11pp. 
 + 
 +13. K.M. Awan, J. Pečarić, Atiq ur Rehman, Steffensen’s generalization of Chebyshev inequality, J. Math. Inequal. 9 (1) (2015), 155-163. 
 + 
 +12. S.I. Butt, J. Pečarić, Atiq ur Rehman, Non–symmetric Stolarsky means, J. Math. Inequal. 7(2) (2013), 227-237.  
 + 
 +11. J. Pečarić , Atiq Ur Rehman, On Logarithmic Convexity for Giaccardi's Difference, Rad HAZU 515 (2013), 1–10. 
 + 
 +10. J. Pečarić, Atiq ur Rehman, Giaccardi's inequality for convex-concave antisymmetric functions and applications, Southeast Asian Bull. Math. 36 (2012), 863–874. 
 + 
 +09. S.I. Butt, J. Pečarić, Atiq ur Rehman, Exponential convexity for Petrović and related functionals, J. Inequal. Appl. 2011 Article ID 89 (2011), 16 pp. 
 + 
 +08. J. Pečarić, Atiq ur Rehman, On Exponential Convexity for Power Sums and Related Results, J. Math.  Inequal. 5(2) (2011), 265–274. 
 + 
 +07. G. Farid, J. Pečarić, Atiq ur Rehman, On Refinements of Aczél, Popoviciu, Bellman's Inequalities and Related Results, J. Inequal. Appl. 2010, Article ID 579567 (2010), 17 pp. 
 + 
 +06. J. Jakšetic, J. Pečarić, Atiq ur Rehman, On Stolarsky and related means, Math. Inequal. Appl. 13(4) (2010), 899–909.   
 + 
 +05. M. Anwar, J. Jakšetic, J. Pečarić, Atiq ur Rehman, Exponential convexity, positive semi-definite matrices and fundamental inequalities, J. Math. Inequal. 4(2) (2010), 171–189. 
 + 
 +04. J. Jakšetic, J. Pečarić, Atiq ur Rehman, Cauchy means involving Chebyshev functional, Proc. A. Razmadze Math. Inst. 151 (2009), 43–54. 
 + 
 +03. J. Pečarić, Atiq ur Rehman, Cauchy means introduced by an inequality of Levin and Steckin, East J. Approx. 15(4) (2009), 515–524. 
 + 
 +02. J. Pečarić, Atiq ur Rehman, On logarithmic convexity for power sums and related results, J. Inequal. Appl., 2008, Article ID 389410 (2008), 9 pp. 
 + 
 +01. J. Pečarić, Atiq ur Rehman, On logarithmic convexity for power sums and related results. II, J. Inequal. Appl. 2008, Art. ID 305623 (2008), 12 pp.
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 <accordion> <accordion>
 <panel title="Currently Teaching Courses"> <panel title="Currently Teaching Courses">
-  * **[[atiq:fa21-mth321]]** Newly assigned. +  * **[[atiq:sp24-mth424]]** 
- +  * **[[atiq:sp24-mth480]]**
-  * **[[atiq:fa21-mth322]]** Newly assigned.+
 </panel> </panel>
 <panel title="Courses Recently Taught"> <panel title="Courses Recently Taught">
 +  * **[[atiq:fa23-mth103]]**
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 +  * **[[atiq:sp23-mth321]]**
 +  * **[[atiq:sp23-mth322]]**
 +  * **[[atiq:fa22-mth321]]**
 +  * **[[atiq:fa22-mth604]]**
 +  * **[[atiq:sp22-mth211]]**
 +  * **[[atiq:sp22-mth322]]**
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 +  * **[[atiq:fa21-mth322]]**
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