Jensen-Mercer Type Inequalities in the Setting of Fractional Calculus with Applications

Autor:	Bandar Bin-Mohsin, Muhammad Zakria Javed, Muhammad Uzair Awan, Marcela V. Mihai, Hüseyin Budak, Awais Gul Khan, Muhammad Aslam Noor
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Hermite–Hadamard–Mercer inequality Hölder’s inequality Riemann–Liouville fractional integrals harmonic convex function special means error estimation Mathematics QA1-939
Zdroj:	Symmetry, Vol 14, Iss 10, p 2187 (2022)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym14102187
Popis:	The main objective of this paper is to establish some new variants of the Jensen–Mercer inequality via harmonically strongly convex function. We also propose some new fractional analogues of Hermite–Hadamard–Jensen–Mercer-like inequalities using AB fractional integrals. In order to obtain some of our main results, we also derive new fractional integral identities. To demonstrate the significance of our main results, we present some interesting applications to special means and to error bounds as well.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a4ada81086af4a48b9223e73eff4c5f4 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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