Hermite–Hadamard–Mercer-Type Inequalities for Three-Times Differentiable Functions

Autor:	Loredana Ciurdariu, Eugenia Grecu
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Hermite–Hadamard inequality convex functions Hölder inequality power mean inequality Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 6, p 413 (2024)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms13060413
Popis:	In this study, an integral identity is given in order to present some Hermite–Hadamard–Mercer-type inequalities for functions whose powers of the absolute values of the third derivatives are convex. Several consequences and three applications to special means are given, as well as four examples with graphics which illustrate the validity of the results. Moreover, several Hermite–Hadamard–Mercer-type inequalities for fractional integrals for functions whose powers of the absolute values of the third derivatives are convex are presented.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/8657ee1d9c6c4a6e8624fa24ec2bffa4 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.