Open Access
January 2005 Bounding the Čebyšev functional for a pair of sequences in inner product spaces
Sever S. Dragomir
Author Affiliations +
SUT J. Math. 41(1): 11-29 (January 2005). DOI: 10.55937/sut/1126271301

Abstract

Some new bounds for the Čebyšev functional of a pair of vectors in inner product spaces are pointed out. Reverses for the celebrated Jensen’s inequality for convex functions defined on inner product spaces are given as well.

Acknowledgement

The author would like to thank the anonymous referee for his/her suggestions that have been incorporated in the final version of this paper.

Citation

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Sever S. Dragomir. "Bounding the Čebyšev functional for a pair of sequences in inner product spaces." SUT J. Math. 41 (1) 11 - 29, January 2005. https://doi.org/10.55937/sut/1126271301

Information

Received: 26 August 2004; Published: January 2005
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1126271301

Subjects:
Primary: 26D10 , 26D15 , 46C05

Keywords: Čebyšev’s functional , Grüss type inequalities

Rights: Copyright © 2005 Tokyo University of Science

Vol.41 • No. 1 • January 2005
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