Estimates for the moduli of smoothness of a transformed Fourier series (Q1425522)
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scientific article; zbMATH DE number 2061520
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates for the moduli of smoothness of a transformed Fourier series |
scientific article; zbMATH DE number 2061520 |
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Estimates for the moduli of smoothness of a transformed Fourier series (English)
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21 March 2004
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The paper deals with generalized derivatives in the Weyl sense. The author establishes bilateral estimates of smoothness moduli of these derivatives via the smoothness moduli of the initial functions. It is shown that the obtained inequalities are valid for the classes of functions with quasimonotone and lacunary Fourier coefficients.
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Fourier series
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estimates of smoothness modulus
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