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Hadamard Inequalities for Strongly α,m-Convex Functions via Caputo Fractional Derivatives

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  • Yanliang Dong
  • Muhammad Zeb
  • Ghulam Farid
  • Sidra Bibi
  • Antonio Masiello

Abstract

In this paper, we present two versions of the Hadamard inequality for α,m convex functions via Caputo fractional derivatives. Several related results are analyzed for convex and m-convex functions along with their refinements and generalizations. The error bounds of the Hadamard inequalities are established by applying some known identities.

Suggested Citation

  • Yanliang Dong & Muhammad Zeb & Ghulam Farid & Sidra Bibi & Antonio Masiello, 2021. "Hadamard Inequalities for Strongly α,m-Convex Functions via Caputo Fractional Derivatives," Journal of Mathematics, Hindawi, vol. 2021, pages 1-16, January.
    • Handle: RePEc:hin:jjmath:6691151
    DOI: 10.1155/2021/6691151
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    Cited by:

    1. Mohammed K. A. Kaabar & Mehdi Shabibi & Jehad Alzabut & Sina Etemad & Weerawat Sudsutad & Francisco Martínez & Shahram Rezapour, 2021. "Investigation of the Fractional Strongly Singular Thermostat Model via Fixed Point Techniques," Mathematics, MDPI, vol. 9(18), pages 1-21, September.

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