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.
