Approximation of \(MH_q^r\)-class functions by Haar polynomials (Q1569286)
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scientific article; zbMATH DE number 1467822
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of \(MH_q^r\)-class functions by Haar polynomials |
scientific article; zbMATH DE number 1467822 |
Statements
Approximation of \(MH_q^r\)-class functions by Haar polynomials (English)
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1 April 2001
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Let \(1\leq p\), \(q<\infty\). The paper deals with approximation of \(L_q([0, 1]^d)\)-functions with bounded mixed difference by \(d\)-variate Haar polynomials, where the approximation error is measured in \(L_p\)-metric. The author studies the classical best approximation by \(d\)-variate Haar polynomials with indices lying in hyperbolic crosses and the best \(m\)-term approximation by \(d\)-variate Haar polynomials.
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approximation of multivariate functions
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functions of bounded mixed difference
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Haar system
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Haar polynomial
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best approximation
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best \(m\)-term approximation
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