Uniform convergence of the Fourier spherical sums differentiated by the function
Asymptotic equalities are found for exact upper bounds of the deviations in the uniform metric of the spherical sums of a multiple trigonometric Fourier series on classes of functions with a mean-bounded Liouville derivative.
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| Date: | 1991 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1991
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9304 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | Asymptotic equalities are found for exact upper bounds of the deviations in the uniform metric of the spherical sums of a multiple trigonometric Fourier series on classes of functions with a mean-bounded Liouville derivative. |
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