On the rate of convergence of Fourier series for functions of HBMV (Q1085359)
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scientific article; zbMATH DE number 3981744
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the rate of convergence of Fourier series for functions of HBMV |
scientific article; zbMATH DE number 3981744 |
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On the rate of convergence of Fourier series for functions of HBMV (English)
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1987
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Bojanic and Waterman gave the rates of convergence of Fourier series for functions of \(\Lambda\) BV. But their estimates for the rate of convergence are not adequate for HBV. Hence, for the extreme HBV, the question of estimate of the rate of convergence remains open. The author solves the question for the larger class HBMV that was introduced by Shi and establishes two estimates for the rate of convergence for \(\Lambda\) BMV and HBMV.
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HBMV functions
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estimate of the rate of convergence
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