Multiple Fourier sums on sets of \((\psi{},\beta{})\)-differentiable functions (Q1176885)
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scientific article; zbMATH DE number 12660
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple Fourier sums on sets of \((\psi{},\beta{})\)-differentiable functions |
scientific article; zbMATH DE number 12660 |
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Multiple Fourier sums on sets of \((\psi{},\beta{})\)-differentiable functions (English)
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25 June 1992
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In this paper the authors present some generalizations of certain results earlier established by the first author in Ukr. Mat. Zh. 41, No. 4, 499- 510 (1989; Zbl 0738.42008). In fact they obtain some variants of the Lebesgue inequality for the multidimensional case, pointing out the deviation of the multiple partial Fourier sums on the set of \((\psi,\beta)\)-differentiable periodic functions. The results are too technical to be exposed here.
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Lebesgue inequality
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multidimensional case
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deviation
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multiple partial Fourier sums
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\((\psi,\beta)\)-differentiable periodic functions
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