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

International Journal of Mathematical Modelling & Computations

دوره 10، 3 (SUMMER) - شماره پیاپی 39، آذر 2020، صفحه 227-238   

نوع مقاله: Full Length Article

نویسندگان

Muhammad Aamir Ali^{* 1}؛ Talib Hussain²؛ Muhammad Zafar Iqbal²؛ Farooq Ejaz²

¹Nanjinjg University

²Faculty of Sciences, Department of Mathematics and Statistics, University of Agriculture Faisalabad, Pakistan

چکیده

‎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.

کلیدواژه‌ها

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