Generalized Fractional Hermite-Hadamard Type Inequalities for Convex Functions

Authors

Hu ̈seyin Budak, Department of Mathematics, Faculty of Science and Arts, Du ̈zce University, Du ̈zce, TurkeyFollow
Muhammad Aamir Ali, Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, ChinaFollow
Mehmet Zeki Sarikaya, Department of Mathematics, Faculty of Science and Arts, Du ̈zce University, Du ̈zce, TurkeyFollow

Author Country (or Countries)

China

Abstract

In this article, we obtain some Hermite-Hadamard type inequalities for differentiable convex functions involving generalized fractional integrals. Some of our results are the extension of previously obtained results like (Dragomir and Agarwal in Appl. Math. Lett. 11(5): 91-95, 1998, Dragomir, Chob and Kimc in J. Math. Anal. Appl. 245(2):489-501, 2000, Yang, H. Wang and Tseng in Comput. Math. Appl. 47(2-3):207-216, 2004 and S. Qaisar et al. in J. Inequal. Appl. 2019(1):111, 2019). We also discuss some special cases.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140505

Recommended Citation

̈seyin Budak, Hu; Aamir Ali, Muhammad; and Zeki Sarikaya, Mehmet (2020) "Generalized Fractional Hermite-Hadamard Type Inequalities for Convex Functions," Applied Mathematics & Information Sciences: Vol. 14: Iss. 5, Article 5.
DOI: http://dx.doi.org/10.18576/amis/140505
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss5/5