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On the best approximation of periodic functions of two variables by polynomial splines

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Ukrainian Mathematical Journal Aims and scope

Abstract

We consider the problem of the best approximation of periodic functions of two variables by a subspace of splines of minimal defect with respect to a uniform partition.

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References

  1. N. P. Korneichuk, “On the best approximation of functions of n variables,” Ukr. Mat. Zh., 51, No. 10, 1352–1359 (1999).

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  2. N. P. Korneichuk, Exact Constants in Approximation Theory [in Russian] Nauka, Moscow 1987.

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  1. Academician, Ukrainian Academy of Sciences, Ukrainian

    N. P. Korneichuk

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  1. N. P. Korneichuk
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Korneichuk, N.P. On the best approximation of periodic functions of two variables by polynomial splines. Ukr Math J 52, 55–61 (2000). https://doi.org/10.1007/BF02514136

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  • DOI: https://doi.org/10.1007/BF02514136

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