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Approximation by splines and smooth bases in C(0, 2π)

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Abstract

An estimate of the deviation of the splines interpolating on a uniform net a function continuous on the whole axis by means of the kth module of continuity. These results are applied for the construction of smooth bases in C(0, 2π).

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Literature cited

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Academy of Sciences of the USSR, USSR

    Yu. N. Subbotin

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  1. Yu. N. Subbotin
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Translated from Matematicheskie Zametki, Vol. 12, No. 1, pp. 43–51, July, 1972.

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Subbotin, Y.N. Approximation by splines and smooth bases in C(0, 2π). Mathematical Notes of the Academy of Sciences of the USSR 12, 459–463 (1972). https://doi.org/10.1007/BF01094391

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  • DOI: https://doi.org/10.1007/BF01094391

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