Convexity with respect to strictly monotone function and Riemann-Liouville fractional Fejér-Hadamard inequalities

Abstract

In this paper we study the Fejér-Hadamard inequalities for convex function with respect to a strictly monotone function. We establish two inequalities for convex function with respect to a strictly monotone function via Riemann-Liouville fractional integrals. From inequalities found here many new results can be derived by selecting specific strictly monotone and weight functions. Also a variety of existing Fejér-Hadamard and Hadamard inequalities can be reproduced.

Keywords

• fejér-hadamard inequality
• convex function
• monotone function
• riemann-liouville fractional integrals