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Sharp estimates for the convergence rate of Fourier series of complex variable functions in L 2(D, p(z))

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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.

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References

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Authors and Affiliations

  1. Dagestan State University, ul. Gadzhieva 43a, Makhachkala, 367025, Russia

    V. A. Abilov

  2. Dagestan State Technical University, pr. Kalinina 70, Makhachkala, 367015, Russia

    F. V. Abilova

  3. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

    M. K. Kerimov

Authors
  1. V. A. Abilov
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  2. F. V. Abilova
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  3. M. K. Kerimov
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Correspondence to V. A. Abilov.

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Original Russian Text © V.A. Abilov, F.V. Abilovab, M.K. Kerimov, 2010, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2010, Vol. 50, No. 6, pp. 999–1004.

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Abilov, V.A., Abilova, F.V. & Kerimov, M.K. Sharp estimates for the convergence rate of Fourier series of complex variable functions in L 2(D, p(z)). Comput. Math. and Math. Phys. 50, 946–950 (2010). https://doi.org/10.1134/S0965542510060023

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  • DOI: https://doi.org/10.1134/S0965542510060023

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