Generalized Hermite–Hadamard-Type Integral Inequalities forh-Godunova–Levin Functions

Abstract

The main objective of this article is to establish generalized fractional Hermite–Hadamard and related type integral inequalities for$h$-Godunova–Levin convexity and$h$-Godunova–Levin preinvexity with extended Wright generalized Bessel function acting as kernel. Moreover, Hermite–Hadamard-type and trapezoid-type inequalities for several known convexities including Godunova–Levin function, classical convex,$s$-Godunova–Levin function,$P$-function, and$s$-convex function are deduced as corollaries. These obtained results are analyzed in the form of generalization of fractional inequalities.