Theorems on direct and inverse approximation by algebraic polynomials and piecewise polynomials in the spaces \(H^m(a,b)\) and \(B_{2,q}^s(a,b)\) (Q6558941)
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scientific article; zbMATH DE number 7868685
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theorems on direct and inverse approximation by algebraic polynomials and piecewise polynomials in the spaces \(H^m(a,b)\) and \(B_{2,q}^s(a,b)\) |
scientific article; zbMATH DE number 7868685 |
Statements
Theorems on direct and inverse approximation by algebraic polynomials and piecewise polynomials in the spaces \(H^m(a,b)\) and \(B_{2,q}^s(a,b)\) (English)
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21 June 2024
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From the introduction: This paper is an extended presentation of the results announced earlier in a short communication [the author, Russ. Math. 66, No. 6, 65--72 (2022; Zbl 1528.41012)].
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best approximation by polynomials
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orthogonal polynomial
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sharp error estimate
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Bernstein's inequality
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Jackson's inequality
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direct and inverse theorems
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