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.

About the authors

Yu. S. Volkov

Sobolev Institute of Mathematics; Novosibirsk State University

Author for correspondence.
Email: volkov@math.nsc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090

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