Some New Hermite-Hadamard Type Inequalities Pertaining to Fractional Integrals with an Exponential Kernel for Subadditive Functions

Artion Kashuri, Soubhagya Kumar Sahoo, Pshtiwan Othman Mohammed, Eman Al-Sarairah, Y. S. Hamed

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    6 Scopus citations

    Abstract

    The class of symmetric function interacts extensively with other types of functions. One of these is the class of convex functions, which is closely related to the theory of symmetry. In this paper, we obtain some new fractional Hermite–Hadamard inequalities with an exponential kernel for subadditive functions and for their product, and some known results are recaptured. Moreover, using a new identity as an auxiliary result, we deduce several inequalities for subadditive functions pertaining to the new fractional integrals involving an exponential kernel. To validate the accuracy of our results, we offer some examples for suitable choices of subadditive functions and their graphical representations.

    Original languageBritish English
    Article number748
    JournalSymmetry
    Volume15
    Issue number3
    DOIs
    StatePublished - Mar 2023

    Keywords

    • convex functions
    • fractional integral operators with an exponential kernel
    • Hermite-Hadamard inequalities
    • Hölder’s inequality
    • numerical analysis
    • power-mean inequality
    • subadditive functions

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