New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized h-preinvex functions

Autor: Sun Wenbing, Wan Haiyang
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Demonstratio Mathematica, Vol 57, Iss 1, Pp 171-215 (2024)
Druh dokumentu: article
ISSN: 2391-4661
DOI: 10.1515/dema-2023-0128
Popis: In this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized hh-preinvex functions is obtained. Subsequently, an integral identity related to these two local fractional integral operators is constructed to obtain some new Ostrowski-type local fractional integral inequalities for generalized hh-preinvex functions. Finally, we propose three examples to illustrate the partial results and applications. Meanwhile, we also propose two midpoint-type inequalities involving generalized moments of continuous random variables to show the application of the results.
Databáze: Directory of Open Access Journals