HERMITE–HADAMARD TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES WITH MITTAG-LEFFLER KERNEL FOR GENERALIZED PREINVEX FUNCTIONS

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

FRACTALS (fractals), 2021, vol. 29, issue 08, 1-13

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.

Keywords: Hermite–Hadamard Type Inequalities; Hermite–Hadamard–Fejér Type Inequalities; Local Fractional Integrals Operators; Generalized Preinvex Function; Mittag-Leffler kernel (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21502534

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