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This article is cited in 5 scientific papers (total in 5 papers)
Approximation of Functions of Dirichlet Class by Fejér Means
V. V. Savchuk Institute of Mathematics, Ukrainian National Academy of Sciences
Abstract:
For the Dirichlet classes $\mathscr D_p$ of holomorphic functions in the disk, we obtain the exact orders of best polynomial approximations and of upper bounds for deviations of Fejér means of Taylor series in the Hardy spaces $H_p$.
Keywords:
Dirichlet class of holomorphic functions, Fejér mean, best polynomial approximation, Taylor series, Hardy space, Fubini theorem, Riesz theorem.
Received: 10.05.2006 Revised: 18.09.2006
Citation:
V. V. Savchuk, “Approximation of Functions of Dirichlet Class by Fejér Means”, Mat. Zametki, 81:5 (2007), 744–750; Math. Notes, 81:5 (2007), 665–670
Linking options:
https://www.mathnet.ru/eng/mzm3718https://doi.org/10.4213/mzm3718 https://www.mathnet.ru/eng/mzm/v81/i5/p744
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Abstract page: | 432 | Full-text PDF : | 222 | References: | 73 | First page: | 10 |
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