$k$-fractional integral inequalities of Hadamard type for exponentially $(s,m)$-convex functions

Abstract

The aim of this article is to present fractional versions of the Hadamard type inequalities for exponentially $(s, m)$-convex functions via $k$-analogue of Riemann-Liouville fractional integrals. The results provide generalizations of various known fractional integral inequalities. Some special cases are analyzed in the form of corollaries and remarks.

Keywords

• convex functions
• hadamard inequality
• riemann-liouville fractional integral operators