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On approximation of periodic functions by Riesz sums

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The paper considers issues related to constructing asymptotic formulas for deviations of Riesz sums. The error estimates in the spaces C and L p in terms of the best approximations are obtained. Bibliography: 9 titles.

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References

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    N. Yu. Dodonov & V. V. Zhuk

Authors
  1. N. Yu. Dodonov
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  2. V. V. Zhuk
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Correspondence to N. Yu. Dodonov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 371, 2009, pp. 18–36.

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Dodonov, N.Y., Zhuk, V.V. On approximation of periodic functions by Riesz sums. J Math Sci 166, 134–144 (2010). https://doi.org/10.1007/s10958-010-9853-9

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  • DOI: https://doi.org/10.1007/s10958-010-9853-9

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