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New (Probabilistic) Derivation of Diaz-Metcalf and Pólya-Szegő Inequalities and Consequences
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Pogány, Tibor K (2004) New (Probabilistic) Derivation of Diaz-Metcalf and Pólya-Szegő Inequalities and Consequences. Research report collection, 7 (1).
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Abstract
Classical inequalities of Diaz - Metcalf and Pólya - Szegő are generalized to probabilistic setting which covers the initial deterministic (both discrete and integral) variants. From these two inequalities, by the probabilistic derivation method further well - known inequalities are obtained (that ones by Kantorovich, Rennie and Schweitzer).
Item Type: | Article |
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Uncontrolled Keywords: | almost surely bounded random variable, Diaz-Metcalf inequality, discrete inequality, integral inequality, Kantorovich inequality, mathematical expectation, Polya-Szego inequality, Rennie inequality, Schweitzer inequality |
Subjects: | FOR Classification > 0101 Pure Mathematics FOR Classification > 0104 Statistics Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
Depositing User: | Research Group in Mathematical Inequalities and Applications |
Date Deposited: | 17 Nov 2011 04:50 |
Last Modified: | 23 May 2013 16:48 |
URI: | http://vuir.vu.edu.au/id/eprint/17148 |
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