Hermite-Hadamard type integral inequalities for harmonically relative preinvex functions /

Abstract

Inequalities plays a significant and wide spread role in the evolution of many fields of mathematics. In the growth of finite difference, integral and differential equations, there is far-reaching part of inequalities and their explicit estimates. The field of finite difference and integral inequalities along with explicit estimates have great efficacy in the study of qualitative properties of solutions of numerous types of finite difference equations. Hermite-Hadamard integral inequality is one of the famous inequality used for harmonically convex functions. By using the concept of harmonically relative preinvex functions we introduce several new upper bounds of Hermite-Hadamard type integral inequalities for harmonically relative preinvex functions and their different types such as s-harmonic preinvex functions, s-harmonic Godunova Levin functions and harmonic P-preinvex functions.