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Dragomir, S.S. (2002) On Some New Inequalities of Hermite-Hadamard Type for m-Convex Functions. Tamkang Journal of Mathematics, 33, 45-56. https://doi.org/10.5556/j.tkjm.33.2002.304

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.