ON DOMINATED CLASSES OF HARMONIC CONVEX FUNCTIONS AND ASSOCIATED INTEGRAL INEQUALITIES

Abstract

In this article, we introduce and investigate dominated classes the notion of (h, g)-harmonic convex dominated functions. As particular cases of (h, g)-harmonic convex dominated functions, we also define some other new classes of harmonic convex dominated. We derive some integral inequalities of Hermite-Hadamard type via (h, g)-harmonic convex dominated functions and also give the fractional version of these inequalities. Some new special cases are also discussed which can be deduced from our main results.