<i>k</i>-Fractional Estimates of Hermite–Hadamard Type Inequalities Involving <i>k</i>-Appell’s Hypergeometric Functions and Applications

Abstract

The main objective of this paper is to obtain certain new k-fractional estimates of Hermite−Hadamard type inequalities via s-convex functions of Breckner type essentially involving k-Appell’s hypergeometric functions. We also present applications of the obtained results by considering particular examples.

Keywords

• convex
• <i>s</i>-convex
• <i>k</i>-fractional
• bounds
• Appell’s hypergeometric functions