On some fractional integral inequalities for generalized strongly modified $h$-convex functions

Abstract

Convex functions play an important role in many areas of mathematics. They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties. Many generalizations of convex functions exists in literature. The main aim of the article is to develop fractional integral inequalities for generalized strongly modified h-convex functions. Based on obtained fractional type integral inequalities we give some applications to the means. Our results are extension and generalization of many existing results.

Keywords

• generalized convex functions
• strongly convex functions
• modified h-convex function