On Refinements of Hermite-Hadamard-Fejér Type Inequalities for Fractional Integral Operators

Authors

Fatma Ertuğral, Düzce University
Mehmet Z. Sarikaya, Düzce University
Hüseyin Budak, Düzce University

Abstract

In this paper, utilizing convex functions, we first establish new refinements of Hermite- Hadamard-Fejer type inequalities via Riemann-Liouville fractional integral operators. A generalized refinements of Hermite-Hadamard-Fejer type inequalities for fractional integral operators with exponential kernel is also obtained. The results given in this paper would provide extensions of those presented in earlier studies.

Recommended Citation

Ertuğral, Fatma; Sarikaya, Mehmet Z.; and Budak, Hüseyin (2018). On Refinements of Hermite-Hadamard-Fejér Type Inequalities for Fractional Integral Operators, Applications and Applied Mathematics: An International Journal (AAM), Vol. 13, Iss. 1, Article 27.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss1/27