Approximation by polynomials of given length (Q791072)
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scientific article; zbMATH DE number 3849789
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation by polynomials of given length |
scientific article; zbMATH DE number 3849789 |
Statements
Approximation by polynomials of given length (English)
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1983
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The number of non-zero coefficients of a polynomial P is denoted by \(\ell(P)\) and is called the length of P. It is shown here that given 1\(\leq p\leq \infty\), and \(f\in L_ p[a,b]\), in the class of all polynomials of length at most m, there exists a polynomial of best approximation to f in the p-norm.
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length of a polynomial
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