Extension of Hermite-Hadamard Companions of Riemann-Liouville Inequality Type with k-fractional Integrals

Abstract

The previous research on Hermite-Hadamard inequalities focused on classical h-convex, s-convex and new companions of RiemannLiouville k-fractional integrals type by means of generalized convex functions, and generalized mid point forms were left unexplored. This present study deals with the derivation of some flexible convexity classes that depend on a generating function. As a result, important nonlinear behaviours coordinated convex function within the usual linear setting. However, little research has been established on through relative semi-convex, relative h-convex and relative g-convex functions.