Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals

Abstract

UDC 517.5 By using the definition of modified ( h , m , s ) -convex functions of the second type, we present various refinements of the classical Hermite–Hadamard inequality obtained within the framework of weighted integrals. Throughout the paper, we show that various known results available from the literature can be obtained as particular cases of our results.