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

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  • Muhammad Aamir Ali*1,
  • Talib Hussain2,
  • Muhammad Zafar Iqbal2,
  • Farooq Ejaz2,
  1. Nanjinjg University
  2. Faculty of Sciences, Department of Mathematics and Statistics, University of Agriculture Faisalabad, Pakistan

Revised: 17-05-2020

Accepted: 05-08-2020

Published in Issue 01-09-2020

How to Cite

Ali, M. A., Hussain, T., Iqbal, M. Z., & Ejaz, F. (2020). Inequalities of Hermite-Hadamard‎-Mercer Type for Convex Functions via K-Fractional Integrals. International Journal of Mathematical Modelling & Computations, 10(3), 227-238. https://oiccpress.com/ijm2c/article/view/11070

Abstract

‎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.
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