Growth estimates for arbitrary sequences of multiple rectangular Fourier sums (Q483398)
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scientific article; zbMATH DE number 6381059
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Growth estimates for arbitrary sequences of multiple rectangular Fourier sums |
scientific article; zbMATH DE number 6381059 |
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Growth estimates for arbitrary sequences of multiple rectangular Fourier sums (English)
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17 December 2014
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In this paper, the author obtains a \(d\)-dimensional (for \(d>2\)) analogue of his earlier result for \(d=2\) [\textit{N. Yu. Antonov}, ``On the growth order of sequences of double rectangular Fourier sums for functions from the classes \(\varphi(L)\)'', Trudy Inst. Mat. Mekh. UrO RAN 18 (4), 26--34 (2012)].
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trigonometric Fourier series
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multiple rectangular Fourier sums
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order of growth
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0.96999556
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0.96162623
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0.95263773
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0.8971759
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0.8863735
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