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December 2015 Bounds for a Čebyšev type functional in terms of Riemann-Stieltjes integral
Silvestru Sever Dragomir
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SUT J. Math. 51(2): 129-144 (December 2015). DOI: 10.55937/sut/1455137928

Abstract

Upper and lower bounds for a Čebyšev type functional in terms of Riemann-Stieltjes integral are given. Applications for functions of selfadjoint operators in Hilbert spaces are also provided.

Acknowledgments

The author would like to thank the anonymous referee for valuable comments that have been implemented in the final version of this paper.

Citation

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Silvestru Sever Dragomir. "Bounds for a Čebyšev type functional in terms of Riemann-Stieltjes integral." SUT J. Math. 51 (2) 129 - 144, December 2015. https://doi.org/10.55937/sut/1455137928

Information

Received: 3 March 2015; Revised: 3 August 2015; Published: December 2015
First available in Project Euclid: 8 June 2022

Digital Object Identifier: 10.55937/sut/1455137928

Subjects:
Primary: 26D10 , 26D15 , 47A63

Keywords: Čebyšev type inequality , Convex functions , ‎functions of selfadjoint operators , Grüss type inequality , ‎Hilbert spaces , ‎spectral families , Stieltjes integral

Rights: Copyright © 2015 Tokyo University of Science

Vol.51 • No. 2 • December 2015
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