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Hermite–Hadamard Type Local Fractional Integral Inequalities With Mittag-Leffler Kernel For Generalized Preinvex Functions

Author

Listed:
  • WENBING SUN

    (School of Science, Shaoyang University, Shaoyang 422000, P. R. China)

Abstract

In this paper, by using two local fractional integral operators with Mittag-Leffler kernel, we construct some new Hermite–Hadamard type and Hermite–Hadamard–Fejér type local fractional integral inequalities for generalized preinvex functions on Yang’s fractal sets. Finally, three examples are proposed to illustrate the main results. Meanwhile, we also proposed an identity and a bounded estimate for the moments of random variables to illustrate the applications of the results.

Suggested Citation

  • Wenbing Sun, 2021. "Hermite–Hadamard Type Local Fractional Integral Inequalities With Mittag-Leffler Kernel For Generalized Preinvex Functions," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(08), pages 1-13, December.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:08:n:s0218348x21502534
    DOI: 10.1142/S0218348X21502534
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    Cited by:

    1. Muhammad Bilal Khan & Jorge E. Macías-Díaz & Savin Treanțǎ & Mohamed S. Soliman, 2022. "Some Fejér-Type Inequalities for Generalized Interval-Valued Convex Functions," Mathematics, MDPI, vol. 10(20), pages 1-16, October.

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