On the order of magnitude of the uniform convergence of multiple trigonometric Fourier series with respect to cubes on the function classes \(H_{p,m}^l[\omega]\) (Q1857402)
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scientific article; zbMATH DE number 1870484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the order of magnitude of the uniform convergence of multiple trigonometric Fourier series with respect to cubes on the function classes \(H_{p,m}^l[\omega]\) |
scientific article; zbMATH DE number 1870484 |
Statements
On the order of magnitude of the uniform convergence of multiple trigonometric Fourier series with respect to cubes on the function classes \(H_{p,m}^l[\omega]\) (English)
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18 February 2003
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The rate of convergence in the uniform metric of the cubic partial sums of the multiple trigonometric Fourier series of functions with a given majorant of their \(L_p\) (\(p>1\)) modulus of smoothness of order \(l\geq 1\) is investigated.
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multiple trigonometric Fourier series
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modulus of smoothness
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uniform approximation
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0.7979603409767151
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0.7940102815628052
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