New developments in fractional Hermite-Hadamard type inequalities through $(\alpha,m)$-convex functions

Abstract

This work aims to establish new fractional integral inequalities of the Hermite-Hadamard type. These results are explored by combining the Riemann-Liouville fractional integrals in a new identity and then applying extended class of convex functions. The limiting cases of the novel results are presented in terms of remarks that connect our findings to the body of existing literature. Furthermore, we present inequalities in the form of some special means as applications of the main results.

Keywords

• Hadamard inequalities
• fractional integral operators
• convex functions

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