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January 2007 A note on perturbed three point inequalities
Zheng Liu
Author Affiliations +
SUT J. Math. 43(1): 23-34 (January 2007). DOI: 10.55937/sut/1189443270

Abstract

The main purpose of this paper is to use a variant of Grüss inequality to obtain a sharp perturbed generalized three point inequality for functions whose nth derivative is bounded both above and below. Thus we provide improvement of a previous result.

Acknowledgment

The author wishes to thank the referee for his helpful comments and suggestions.

Citation

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Zheng Liu. "A note on perturbed three point inequalities." SUT J. Math. 43 (1) 23 - 34, January 2007. https://doi.org/10.55937/sut/1189443270

Information

Received: 1 November 2004; Revised: 13 July 2007; Published: January 2007
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1189443270

Subjects:
Primary: 26D15

Keywords: absolutely continuous , Grüss inequality , perturbed three point inequality , sharp bound , three point inequality

Rights: Copyright © 2007 Tokyo University of Science

Vol.43 • No. 1 • January 2007
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