The Peetre \(K\)-functional and the Riesz summability operator for the Fourier-Legendre expansions (Q1300148)
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scientific article; zbMATH DE number 1333084
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Peetre \(K\)-functional and the Riesz summability operator for the Fourier-Legendre expansions |
scientific article; zbMATH DE number 1333084 |
Statements
The Peetre \(K\)-functional and the Riesz summability operator for the Fourier-Legendre expansions (English)
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21 November 2000
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This is an interesting paper, the author extending previous work of Z. Ditzian. It is showed that the Peetre \(K\)-functional and the Riesz operators (a generalized version of of the classical Riesz operators) are equivalent . The theory is developped for Fourier-Legendre expansions.
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K-functional
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Riesz operators
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Fourier-Legendre expansion
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Peetre \(K\)-functional
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