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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 6, Pages 999–1004
(Mi zvmmf4885)
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This article is cited in 17 scientific papers (total in 17 papers)
Sharp estimates for the rate of convergence of Fourier series of functions of a complex variable in the space $L\sb 2(D,p(z))$
V. A. Abilova, F. V. Abilovab, M. K. Kerimovc a Daghestan State University, ul. Gadzhieva 43a, Makhachkala, 367025 Russia
b Daghestan State Technical University, pr. Kalinina 70, Makhachkala, 367015 Russia
c Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991 Russia
Abstract:
Sharp estimates are derived for the convergence rate of Fourier series in terms of orthogonal systems of functions for certain classes of complex variable functions, and the Kolmogorov $N$-widths of these classes are determined. These issues find applications in numerical analysis methods.
Key words:
orthogonal system of functions, completeness, Fourier series in terms of orthogonal systems, generalized modulus of continuity, Kolmogorov $N$-width, sharp estimates of convergence rate.
Received: 06.10.2009
Citation:
V. A. Abilov, F. V. Abilova, M. K. Kerimov, “Sharp estimates for the rate of convergence of Fourier series of functions of a complex variable in the space $L\sb 2(D,p(z))$”, Zh. Vychisl. Mat. Mat. Fiz., 50:6 (2010), 999–1004; Comput. Math. Math. Phys., 50:6 (2010), 946–950
Linking options:
https://www.mathnet.ru/eng/zvmmf4885 https://www.mathnet.ru/eng/zvmmf/v50/i6/p999
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Abstract page: | 440 | Full-text PDF : | 156 | References: | 73 | First page: | 21 |
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