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Applied Mathematics Letters
Volume 20, Issue 2, February 2007, Pages 123-130
 
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doi:10.1016/j.aml.2006.02.027    
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Copyright © 2006 Elsevier Ltd All rights reserved.

Inequalities for Stieltjes integrals with convex integrators and applications

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Sever S. Dragomira, E-mail The Corresponding Author, E-mail The Corresponding Author, E-mail The Corresponding Author

aSchool of Computer Science and Mathematics, Victoria University, PO Box 14428, Melbourne, VIC 8001, Australia


Received 22 September 2005; 
accepted 23 February 2006. 
Available online 5 May 2006.

Abstract

Inequalities for a Grüss type functional in terms of Stieltjes integrals with convex integrators are given. Applications to the Čebyšev functional are also provided.

Keywords: Stieltjes integral; Grüss inequality; Čebyšev inequality; Convex functions

Article Outline

1. Introduction
2. Inequalities for convex integrators
3. Applications for the Čebyšev functional
References

Applied Mathematics Letters
Volume 20, Issue 2, February 2007, Pages 123-130
 
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