On some integral inequalities for $(h,m)$-convex functions in a generalized framework

Abstract

In this paper, we present some new integral inequalities of Hermite-Hadamard type. To obtain these results, general convex functions of various type are considered such as $(h,m)$-convex functions. The main results extend some previously known inequalities by taking fractional integral operators.

Keywords

• integral inequality
• hermite-hadamard inequality
• $(h,m)$-convex function
• modified $(h,m)$-convex function
• generalized integral operator