Generalizations of Steffensen’s inequality via some Euler-type identities
Abstract
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.
DOI: https://doi.org/10.1515/ausm-2016-0007 | Journal eISSN: 2066-7752
Language: English
Page range: 103 - 126
Submitted on: Oct 14, 2014
Published online: Aug 2, 2016
Published in print: Aug 1, 2016
Published by: Sapientia Hungarian University of Transylvania
In partnership with: Paradigm Publishing Services
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© 2016 Josip Pečarić, Anamarija Perušić Pribanić, Ksenija Smoljak Kalamir, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.