On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications

Autor:	Soubhagya Kumar Sahoo, Artion Kashuri, Munirah Aljuaid, Soumyarani Mishra, Manuel De La Sen
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	convex function Ostrowski’s inequality Mercer inequality Riemann–Liouville fractional integral operators special means q-digamma functions Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 3, p 215 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract7030215
Popis:	This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were directed by Riemann–Liouville fractional integral operators. Furthermore, using special means, q-digamma functions and modified Bessel functions, some applications of the acquired results were obtained.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/86111e1c056a4a1fb806701cbf6791e9 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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