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Sharp estimates of the error of interpolation by bilinear splines for some classes of functions

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Abstract

For some classes of functions of two variables defined by their moduli of continuity, sharp upper bounds for the approximation of functions by interpolation bilinear splines are obtained.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Republic of Tajikistan, Dushanbe, Tajikistan

    M. Sh. Shabozov

  2. Russian–Tajik Slav University, Dushanbe, Tajikistan

    M. Sh. Shabozov

  3. Tajik National University, Dushanbe, Tajikistan

    S. N. Mekhmonzoda

Authors
  1. M. Sh. Shabozov
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  2. S. N. Mekhmonzoda
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Correspondence to M. Sh. Shabozov.

Additional information

Original Russian Text © M. Sh. Shabozov, S. N. Mekhmonzoda, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 3, pp. 462–469.

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Shabozov, M.S., Mekhmonzoda, S.N. Sharp estimates of the error of interpolation by bilinear splines for some classes of functions. Math Notes 102, 417–423 (2017). https://doi.org/10.1134/S0001434617090115

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  • DOI: https://doi.org/10.1134/S0001434617090115

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