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

Miguel Vivas-Cortez, Maria Bibi, Muhammad Muddassar, Sa'Ud Al-Sa'Di

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6 Scopus citations

Abstract

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.

Original languageEnglish
Article number20220216
JournalDemonstratio Mathematica
Volume56
Issue number1
DOIs
StatePublished - 1 Jan 2023

Bibliographical note

Publisher Copyright:
© 2023 the author(s), published by De Gruyter.

Keywords

  • fractal sets
  • generalized h, h-preinvex functions
  • generalized Hermite-Hadamard inequality
  • local fractional integrals
  • Mittag-Leffler kernel

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