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Asymptotic behavior of Lebesgue functions of two variables

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Ukrainian Mathematical Journal Aims and scope

Abstract

We describe the asymptotic behavior of Lebesgue functions generated by the rhombic partial Fourier sums.

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References

  1. O. I. Kuznetsova, “Asymptotic behavior of Lebesgue constants for a sequence of triangular partial sums of double Fourier series,”Sib. Mat. Zh.,18, No. 3, 629–636 (1977).

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  4. O. I. Kuznetsova, “On Lebesgue functions for double Fourier series,” in:The Theory of Functions and Approximations. Proceedings of the Saratov Winter School, 1982 [in Russian], Vol. 2, Saratov (1983), pp. 68–70.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    O. I. Kuznetsova

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  1. O. I. Kuznetsova
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 2, pp. 220–226, February, 1995.

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Kuznetsova, O.I. Asymptotic behavior of Lebesgue functions of two variables. Ukr Math J 47, 259–266 (1995). https://doi.org/10.1007/BF01056716

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  • DOI: https://doi.org/10.1007/BF01056716

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