An inverse approximation problem for functions of the classes \(L^ p_{2\pi}\) (Q1110021)
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scientific article; zbMATH DE number 4071604
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An inverse approximation problem for functions of the classes \(L^ p_{2\pi}\) |
scientific article; zbMATH DE number 4071604 |
Statements
An inverse approximation problem for functions of the classes \(L^ p_{2\pi}\) (English)
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1987
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In this paper is examined the inverse approximation problem to the problem from Theorem 3 given in Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 23, 199-213 (1983; Zbl 0548.40004). In our theorem we estimate the k-th modulus of smoothness of \(f\in L^ p_{2\pi}\) approximated by its harmonic means of the Fourier series.
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modulus of smoothness
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harmonic means
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Fourier series
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