Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial
Abstract
Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given. Furthermore, using the Čebyšev functional some new bounds for the remainder in obtained generalizations are proven and related Grüss-type inequalities are given.
Language: English
Page range: 121 - 137
Published on: Sep 26, 2019
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year
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© 2019 Josip Pečarić, Anamarija Perušić Pribanić, Ksenija Smoljak Kalamir, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.