Hermite-Hadamard-Fejér type fractional inequalities relating to a convex harmonic function and a positive symmetric increasing function

Autor:	Muhammad Amer Latif, Humaira Kalsoom, Zareen A. Khan
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	harmonically symmetric function weighted fractional operators harmonic convex functions hermite-hadamard-fejér inequality Mathematics QA1-939
Zdroj:	AIMS Mathematics, Vol 7, Iss 3, Pp 4176-4198 (2022)
Druh dokumentu:	article
ISSN:	2473-6988 15530566
DOI:	10.3934/math.2022232?viewType=HTML
Popis:	The purpose of this article is to discuss some midpoint type HHF fractional integral inequalities and related results for a class of fractional operators (weighted fractional operators) that refer to harmonic convex functions with respect to an increasing function that contains a positive weighted symmetric function with respect to the harmonic mean of the endpoints of the interval. It can be concluded from all derived inequalities that our study generalizes a large number of well-known inequalities involving both classical and Riemann-Liouville fractional integral inequalities.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4cf8489bd7754fec97a45b15530566eb Zobrazit plný text záznamu View record in DOAJ