Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function

Abstract

In this paper we find further versions of generalized Hadamard type fractional integral inequality for k-fractional integrals. For this purpose we utilize the definition of h-convex function. The presented results hold simultaneously for variant types of convexities and fractional integrals.

Keywords

• convex function
• hermite-hadamard inequality
• jensen-mercer inequality
• fractional integrals