Some inequalities in functional analysis, combinatorics, and probability theory (Q976707)
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scientific article; zbMATH DE number 5721452
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some inequalities in functional analysis, combinatorics, and probability theory |
scientific article; zbMATH DE number 5721452 |
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Some inequalities in functional analysis, combinatorics, and probability theory (English)
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16 June 2010
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Summary: The main purpose of this paper is to show that many inequalities in functional analysis, probability theory and combinatorics are immediate corollaries of the best approximation theorem in inner product spaces. Besides, as applications of the de Caen-Selberg inequality, the finite field Kakeya and Nikodým problems are also studied.
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inner product space
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orthogonal projection
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Kakeya set
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Nikodym set
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