Generalized Lipschitz classes and Fourier coefficients (Q1889681)
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scientific article; zbMATH DE number 2121435
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Lipschitz classes and Fourier coefficients |
scientific article; zbMATH DE number 2121435 |
Statements
Generalized Lipschitz classes and Fourier coefficients (English)
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7 December 2004
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The author proves several general results. Among others he gives a criterion for a function to belong to the generalized Lipschitz class defined by using moduli of smoothness of positive orders and presents necessary and sufficient conditions for this criterion to hold.
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generalized Lipschitz classes
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Fourier coefficients
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generalized Zygmund classes
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modulus of smoothness
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majorant
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0.9758903
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0.9658612
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0.9656894
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0.96272147
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0.9540005
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0.9485231
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0.9476003
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