Some New Refinements of Hermite–Hadamard-Type Inequalities Involvingψk-Riemann–Liouville Fractional Integrals and Applications

Abstract

The main objective of this article is to establish some new fractional refinements of Hermite–Hadamard-type inequalities essentially using newψk-Riemann–Liouville fractional integrals, wherek>0. Using this new fractional integral, we also derive two new fractional integral identities. Applications of the obtained results are also discussed.