New Estimations for Quasi-Convex Functions and \((h,m)\)-Convex Functions with the Help of Caputo-Fabrizio Fractional Integral Operators

Abstract

The main motivation of the paper is to provide new integral inequalities for different kinds of convex functions by using a fractional integral operator with a non-singular kernel. The findings involve several new integral inequalities for quasi-convex functions and \((h,m)\)-convex functions. We have used the algebraic properties of Caputo-Fabrizio fractional operator, definitions of convex functions, and elementary analysis methods for the