Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial

Pečarić, Josip; Pribanić, Anamarija Perušić; Kalamir, Ksenija Smoljak

doi:10.2478/auom-2019-0023

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Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 27 (2019): Issue 2 (June 2019)

By: Josip Pečarić, Anamarija Perušić Pribanić and Ksenija Smoljak Kalamir

Open Access

|Sep 2019

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.

References

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DOI: https://doi.org/10.2478/auom-2019-0023 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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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

Keywords:

Steffensen’s inequality,

generalizations,

n-convex functions,

Abel-Gontscharoff polynomial,

Ostrowski-type inequality,

Grüss-type inequality

Related subjects:

Mathematics,

General mathematics

© 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.

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