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On local fractional integral inequalities via generalized ( h ˜ 1, h ˜ 2)-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

Vivas-Cortez Miguel, Bibi Maria, Muddassar Muhammad, Al-Sa’di Sa’ud

Demonstratio Mathematica

2023

Vol. 56, nr 1

art. no. 20220216

Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities. In this article, we analyze Hermite-Hadamard-type local fractional integral inequalities via generalized (h˜1, h˜2)-preinvex function comprising local fractional integral operators and Mittag-Leffler kernel. In addition, two examples are discussed to ensure that the derived consequences are correct. As an application, we construct an inequality to establish central moments of a random variable.