Article citationsMore>>

Jleli, M., O’Regan, D. and Samet, B. (2017) Some Fractional Integral Inequalities Involving m-Convex Functions. Aequationes Mathematicae, 91, 479-490. https://doi.org/10.1007/s00010-017-0470-2

has been cited by the following article:

• 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.