Author/Authors :
Alia, M. A. Jiangsu Key Laboratory for NSLSCS - School of Mathematical Sciences - Nanjing Normal University, Nanjing, China , Hussain, T. Faculty of Sciences - Department of Mathematics and Statistics - University of Agriculture Faisalabad, Pakistan. , Iqbalb, M. Z. Faculty of Sciences - Department of Mathematics and Statistics - University of Agriculture Faisalabad, Pakistan. , Ejazb, F. Faculty of Sciences - Department of Mathematics and Statistics - University of Agriculture Faisalabad, Pakistan.
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 dif-
ferentiable mappings whose rst derivatives in absolute value are convex.
Keywords :
Convex functions , Hermite-Hadamard inequalities , Jensen-Mercer inequality , k-Riemann-Liouville fractional integrals
