Generalizations of Steffensen’s inequality via some Euler-type identities

Autor: Pečarić Josip, Perušić Pribanić Anamarija, Smoljak Kalamir Ksenija
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Acta Universitatis Sapientiae: Mathematica, Vol 8, Iss 1, Pp 103-126 (2016)
Druh dokumentu: article
ISSN: 2066-7752
DOI: 10.1515/ausm-2016-0007
Popis: Using Euler-type identities some new generalizations of Steffensen’s inequality for n–convex functions are obtained. Moreover, the Ostrowski-type inequalities related to obtained generalizations are given. Furthermore, using inequalities for the Čebyšev functional in terms of the first derivative some new bounds for the remainder in identities related to generalizations of Steffensen’s inequality are proven.
Databáze: Directory of Open Access Journals