The General Problem of Polynomial Spline Interpolation


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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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Yu. Volkov

Sobolev Institute of Mathematics; Novosibirsk State University

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Email: volkov@math.nsc.ru
俄罗斯联邦, Novosibirsk, 630090; Novosibirsk, 630090

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