On Fractional Ostrowski-Mercer-Type Inequalities and Applications

Autor:	Sofia Ramzan, Muhammad Uzair Awan, Miguel Vivas-Cortez, Hüseyin Budak
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	s-convex mappings Jensen’s inequality Jensen-Mercer inequality fractional calculus Mathematics QA1-939
Zdroj:	Symmetry, Vol 15, Iss 11, p 2003 (2023)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym15112003
Popis:	The objective of this research is to study in detail the fractional variants of Ostrowski–Mercer-type inequalities, specifically for the first and second order differentiable s-convex mappings of the second sense. To obtain the main outcomes of the paper, we leverage the use of conformable fractional integral operators. We also check the numerical validations of the main results. Our findings are also validated through visual representations. Furthermore, we provide a detailed discussion on applications of the obtained results related to special means, q-digamma mappings, and modified Bessel mappings.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/3bc8eef2f0a54f23b99a7b76757356c5 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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