OICC Press International Journal of Mathematical Modelling & Computations 2228-6233 10 3 2020 09 01 Inequalities of Hermite-Hadamard‎-Mercer Type for Convex Functions via K-Fractional Integrals 227 238 EN Muhammad Aamir Ali Nanjinjg University Talib Hussain Faculty of Sciences, Department of Mathematics and Statistics, University of Agriculture Faisalabad, Pakistan Muhammad Zafar Iqbal Faculty of Sciences, Department of Mathematics and Statistics, University of Agriculture Faisalabad, Pakistan Farooq Ejaz Faculty of Sciences, Department of Mathematics and Statistics, University of Agriculture Faisalabad, Pakistan Journal Article 2020 09 01 ‎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.