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On Caputo–Fabrizio Fractional Integral Inequalities of Hermite–Hadamard Type for Modified h-Convex Functions

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  • Xiaobin Wang
  • Muhammad Shoaib Saleem
  • Kiran Naseem Aslam
  • Xingxing Wu
  • Tong Zhou
  • Sunil Kumar

Abstract

The theory of convex functions plays an important role in engineering and applied mathematics. The Caputo–Fabrizio fractional derivatives are one of the important notions of fractional calculus. The aim of this paper is to present some properties of Caputo–Fabrizio fractional integral operator in the setting of h-convex function. We present some new Caputo–Fabrizio fractional estimates from Hermite–Hadamard-type inequalities. The results of this paper can be considered as the generalization and extension of many existing results of inequalities and convex functions. Moreover, we also present some application of our results to special means of real numbers.

Suggested Citation

  • Xiaobin Wang & Muhammad Shoaib Saleem & Kiran Naseem Aslam & Xingxing Wu & Tong Zhou & Sunil Kumar, 2020. "On Caputo–Fabrizio Fractional Integral Inequalities of Hermite–Hadamard Type for Modified h-Convex Functions," Journal of Mathematics, Hindawi, vol. 2020, pages 1-17, December.
    • Handle: RePEc:hin:jjmath:8829140
    DOI: 10.1155/2020/8829140
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    Cited by:

    1. Moin-ud-Din Junjua & Ather Qayyum & Arslan Munir & Hüseyin Budak & Muhammad Mohsen Saleem & Siti Suzlin Supadi, 2024. "A Study of Some New Hermite–Hadamard Inequalities via Specific Convex Functions with Applications," Mathematics, MDPI, vol. 12(3), pages 1-14, February.

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