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Lower and Upper Bounds of the Čebyšev Functional for the Riemann-Stieltjes Integral

Dragomir, Sever S and Sofo, Anthony (2009) Lower and Upper Bounds of the Čebyšev Functional for the Riemann-Stieltjes Integral. Research report collection, 12 (1).

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Abstract

Lower and upper bounds of the Čebyšev functional for the Riemann- Stieltjes integral, in the monotonicity case of one function, are given. Applications in relation with the Steffensen generalisation of the Čebyšev inequality are provided.

Item Type: Article
Uncontrolled Keywords: Riemann-Stieltjes integral, Čebyšev inequality, Steffensen inequality, integral inequalities
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 09 Feb 2012 21:01
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17666
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