On \(E\)-Pólya frequency functions (Q933460)
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scientific article; zbMATH DE number 5303186
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(E\)-Pólya frequency functions |
scientific article; zbMATH DE number 5303186 |
Statements
On \(E\)-Pólya frequency functions (English)
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21 July 2008
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Let \(E\) be a subset of \(\mathbb R\). A real function \(f\) defined on \(\mathbb R\) is an \(E\)-Pólya frequency function if the kernel \(f(u-x)\) is totally positive on the set \(E \times\mathbb R\) and \(f\) is integrable on \(\mathbb R\). In the paper the author studies what conditions imposed on \(E\) imply that an \(E\)-Pólya frequency function is a Pólya frequency function.
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totally positive functions
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Pólya frequency functions
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zero-increasing transformations
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