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The General Problem of Polynomial Spline Interpolation

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Abstract

We study the general problem of interpolation by polynomial splines and consider the construction of such splines using the coefficients of expansion of a certain derivative in B-splines. We analyze the properties of the obtained systems of equations and estimate the interpolation error.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia

    Yu. S. Volkov

  2. Novosibirsk State University, Novosibirsk, 630090, Russia

    Yu. S. Volkov

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  1. Yu. S. Volkov
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Correspondence to Yu. S. Volkov.

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Original Russian Text © Yu.S. Volkov, 2016, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Vol. 22, No. 4, pp. 114–125.

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Volkov, Y.S. The General Problem of Polynomial Spline Interpolation. Proc. Steklov Inst. Math. 300 (Suppl 1), 187–198 (2018). https://doi.org/10.1134/S0081543818020190

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  • DOI: https://doi.org/10.1134/S0081543818020190

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