# Atiq ur Rehman, PhD

**Atiq ur Rehman, PhD**

Assistant Professor

Department of Mathematics

COMSATS University Islamabad, Attock Campus

Kamra Road, Attock - PAKISTAN.

**Email**: Atiq@MathCity.org, atiq@cuiatk.edu.pk

**Field of Research:** Difference and functional equations, Real functions, Inequalities in monotonic and convex functions

- See profile at mathscinet
- See profile at Scopus
- See profile at COMSATS Attock Website

- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.

#### Currently Teaching Courses

**MTH424: Convex Analysis (Fall 2020)**Online (Monday & Wednesday at 1430 hrs)

**MTH322: Real Analysis II (Fall 2020)**Online (Thursday & Friday at 1500 hrs)

**MTH211: Discrete Mathematics (Fall 2020)**Online (Monday & Wednesday at 1130 & 1330 resp.)