Inequalities of Hermite-Hadamard‎-Mercer Type for Convex Functions via K-Fractional Integrals

‎In this paper‎, ‎the authors establish inequalities of the‎ Hermite-Hadamard-Mercer type for convex functions by applying k-fractional‎ integrals‎. ‎We prove some new fractional inequalities connected to the left‎ part of Hermite-Hadamard-Mercer type inequalities for differentiable‎ ‎mappings whose first derivatives in absolute value are convex‎.

Keywords:

Convex functions , Hermite-Hadamard inequalities , Jensen-Mercer inequality , k-Riemann-Liouville fractional integrals