Fractional generalized Hadamard and Fejér-Hadamard inequalities for m-convex functions

Autor:	Muhammad Yussouf, Yu-Ming Chu, Ghulam Farid, Chunfa Dong, Xiuzhi Yang, Waqas Nazeer
Rok vydání:	2020
Předmět:	Pure mathematics Operator (computer programming) Monotone polygon Hadamard transform General Mathematics Mathematics::Classical Analysis and ODEs Function (mathematics) Convex function Connection (mathematics) Mathematics
Zdroj:	AIMS Mathematics. 5:6325-6340
ISSN:	2473-6988
DOI:	10.3934/math.2020407
Popis:	The objective of this paper is to present the fractional Hadamard and Fejer-Hadamard inequalities in generalized forms. By employing a generalized fractional integral operator containing extended generalized Mittag-Leffler function involving a monotone increasing function, we generalize the well known fractional Hadamard and Fejer-Hadamard inequalities for m-convex functions. Also we study the error bounds of these generalized inequalities. In connection with some published results from presented inequalities are obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::503d303a36e8eee4639c615f4aaac693 https://doi.org/10.3934/math.2020407 Zobrazit plný text záznamu