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2014 New Grüss Type Inequalities for Riemann--Stieltjes Integral With Monotonic Integrators and Applications
Mohammad W. Alomari, Sever S. Dragomir
Ann. Funct. Anal. 5(1): 77-93 (2014). DOI: 10.15352/afa/1391614572

Abstract

In this paper several new inequalities of Grüss' type for Riemann--Stieltjes integral with monotonic nondecreasing integrators under various assumptions for integrands are proved. Applications for functions of selfadjoint operators on complex Hilbert spaces are provided as well.

Citation

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Mohammad W. Alomari. Sever S. Dragomir. "New Grüss Type Inequalities for Riemann--Stieltjes Integral With Monotonic Integrators and Applications." Ann. Funct. Anal. 5 (1) 77 - 93, 2014. https://doi.org/10.15352/afa/1391614572

Information

Published: 2014
First available in Project Euclid: 5 February 2014

zbMATH: 1288.26012
MathSciNet: MR3119115
Digital Object Identifier: 10.15352/afa/1391614572

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

Keywords: Functions of bounded variation , ‎functions of selfadjoint operators , Grüss inequality , Hölder continuous functions , Riemann--Stieltjes integral , ‎selfadjoint operators

Rights: Copyright © 2014 Tusi Mathematical Research Group

Vol.5 • No. 1 • 2014
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