Weighted Hermite-Hadamard inequalities for r-times differentiable preinvex functions for k-fractional integrals

Abstract

In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions. It is noteworthy that in the past, there was no weighted version of the left and right sides of the Hermite-Hadamard inequality for kk-fractional integrals for generalized convex functions available in the literature.

Keywords

• hermite-hadamard-fejér inequality
• k-fractional integral
• preinvex function
• r-times differentiable function
• 26d10
• 26a51
• 26a33