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Du, T.S., Wang, H., Khan, M.A. and Zhang, Y. (2019) Certain Integral Inequalities Considering Generalized m-Convexity on Fractal Sets and Their Applications. Fractals, 27, Article ID: 1950117. https://doi.org/10.1142/S0218348X19501172

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.