Generalizations of Steffensen’s inequality via the extension of Montgomery identity

Autor:	Aljinović Andrea Aglić, Pečarić Josip, Pribanić Anamarija Perušić
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	steffensen’s inequality n-convex functions montgomery identity ostrowski-type inequality grüss-type inequality 26d15 26a51 Mathematics QA1-939
Zdroj:	Open Mathematics, Vol 16, Iss 1, Pp 420-428 (2018)
Druh dokumentu:	article
ISSN:	2391-5455 2018-0039
DOI:	10.1515/math-2018-0039
Popis:	In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s inequality. Related Ostrowski type inequalities are also provided. Bounds for the reminders in new identities are given by using the Chebyshev and Grüss type inequalities.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1a33f596892149b4b2d3e061defd5a50 Zobrazit plný text záznamu View record in DOAJ