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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 6, Pages 999–1004 (Mi zvmmf4885)  
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
Full-text PDF (222 kB) Citations (17)
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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
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 6, Pages 946–950
DOI: https://doi.org/10.1134/S0965542510060023
Bibliographic databases:
Document Type: Article
UDC: 519.651
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:73
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