On Hadamard inequalities for refined convex functions via strictly monotone functions

Autor:	Moquddsa Zahra, Dina Abuzaid, Ghulam Farid, Kamsing Nonlaopon
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	convex function refined (α，h−m)-convex function monotone function hadamard inequality riemann-liouville fractional integrals Mathematics QA1-939
Zdroj:	AIMS Mathematics, Vol 7, Iss 11, Pp 20043-20057 (2022)
Druh dokumentu:	article
ISSN:	20221096 2473-6988
DOI:	10.3934/math.20221096?viewType=HTML
Popis:	In this paper, we define refined (α,h−m)-convex function with respect to a strictly monotone function. This function provides refinements of various well-known classes of functions for specific strictly monotone functions. By applying definition of this new function we prove the Hadamard inequalities for Riemann-Liouville fractional integrals. These inequalities give the refinements of fractional Hadamard inequalities for convex, (α,m)-convex, (h−m)-convex, (s,m)-convex, h-convex and many other related well-known classes of functions implicitly. Also, Hadamard type inequalities for k-fractional integrals are given.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/68bbbee1ce36441cb4d420a780e85c88 Zobrazit plný text záznamu View record in DOAJ