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Schur-Convexity and Schur-Geometric Convexity of Čebyšev Functional

Shi, Huan-Nan and Zhang, Jian (2009) Schur-Convexity and Schur-Geometric Convexity of Čebyšev Functional. Research report collection, 12 (3).

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Abstract

The Schur-convexity or concavity and the Schur-geometric convexity or concavity of the Čebyšev Functional on the upper and lower limits of the integral are discussed. Two refinements of the Čebyšev inequality are obtained.

Item Type: Article
Uncontrolled Keywords: Čebyšev functional, Schur-convexity, Schur-geometric concavity, Čebyšev integral inequality
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 22:44
Last Modified: 23 May 2013 16:52
URI: http://vuir.vu.edu.au/id/eprint/17762
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