Inequalities of Hermite-Hadamard-Mercer Type for Convex Functions via K-Fractional Integrals
محورهای موضوعی : فصلنامه ریاضی
Muhammad Aamir Ali
1
(Nanjinjg University)
Talib Hussain
2
(Faculty of Sciences, Department of Mathematics and Statistics,
University of Agriculture Faisalabad, Pakistan)
Muhammad Zafar Iqbal
3
(Faculty of Sciences, Department of Mathematics and Statistics,
University of Agriculture Faisalabad, Pakistan)
Farooq Ejaz
4
(Faculty of Sciences, Department of Mathematics and Statistics,
University of Agriculture Faisalabad, Pakistan)
کلید واژه: Hermite-Hadamard inequalities, Convex functions, Jensen-Mercer inequality, k-Riemann-Liouville fractional integrals,
چکیده مقاله :
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.
