Some function classes in Fourier series (Q1360748)
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scientific article; zbMATH DE number 1037704
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some function classes in Fourier series |
scientific article; zbMATH DE number 1037704 |
Statements
Some function classes in Fourier series (English)
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27 April 1999
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The theorems announced in this article generalize the results of Aljančić, Askey, M. and S. Izumi, and Telyakovskij from the one-dimensional case to the multidimensional one. In some cases the statements herein are new also for \(k= 1\). The results have the following character: They confer estimates for the integral modulus of continuity of functions that belong to some classes of functions defined in terms of their Fourier coefficients. Five theorems are presented, but their recalling would need a lot of notations.
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integral modulus of continuity
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classes of functions defined in terms of their Fourier coefficients
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0.8404152393341064
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0.8008032441139221
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0.8008032441139221
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