TY - JOUR
T1 - On local fractional integral inequalities via generalized (h 1, h 2)-preinvexity involving local fractional integral operators with Mittag-Leffler kernel
AU - Vivas-Cortez, Miguel
AU - Bibi, Maria
AU - Muddassar, Muhammad
AU - Al-Sa'Di, Sa'Ud
N1 - Publisher Copyright:
© 2023 the author(s), published by De Gruyter.
PY - 2023/1/1
Y1 - 2023/1/1
N2 - 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.
AB - 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.
KW - Mittag-Leffler kernel
KW - fractal sets
KW - generalized Hermite-Hadamard inequality
KW - generalized h, h-preinvex functions
KW - local fractional integrals
UR - http://www.scopus.com/inward/record.url?scp=85161023816&partnerID=8YFLogxK
U2 - 10.1515/dema-2022-0216
DO - 10.1515/dema-2022-0216
M3 - Article
AN - SCOPUS:85161023816
SN - 0420-1213
VL - 56
JO - Demonstratio Mathematica
JF - Demonstratio Mathematica
IS - 1
M1 - 20220216
ER -