TITLE:
Certain m-Convexity Inequalities Related to Fractional Integrals with Exponential Kernels
AUTHORS:
Hao Wang, Zhijuan Wu
KEYWORDS:
Hermite-Hadamard Type Inequality, Fractional Integrals, m-Convex Mappings
JOURNAL NAME:
Open Access Library Journal,
Vol.8 No.5,
May
20,
2021
ABSTRACT: In this paper, we establish some mid-point type and trapezoid type inequalities via a new class of fractional integral operators which is introduced by Ahmad et al. We derive a new fractional-type integral identity to obtain Dragomir-Agarwal inequality for m-convex mappings. Moreover, some inequalities of Hermite-Hadamard type for m-convex mappings are given related to fractional integrals with exponential kernels. The results presented provide extensions of those given in earlier works.