Study on Hermite-Hadamard-type inequalities using a new generalized fractional integral operator

Abstract

Abstract In this study, a new definition of the fractional integral operator is first proposed, which generalizes some well-known fractional integral operators. Then, by using this newly generalized fractional integral operator, we proved several new Hermite-Hadamard-type inequalities for convex functions. Finally, we provided some corollaries to show that the current results extend and enrich the previous results in the literature.

Keywords

• Fractional integral operator
• Hermite-Hadamard-type inequality
• Convex function