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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2014 Volume 20, Number 1, Pages 52–67 (Mi timm1029)
This article is cited in 16 papers

50 years to Schoenberg's problem on the convergence of spline interpolation

Yu. S. Volkovab, Yu. N. Subbotincd

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
c Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
d Institute of Mathematics and Computer Science, Ural Federal University

Abstract: A review of results on the convergence of interpolation process for polynomial splines and derivatives in the last 50 years is given.

Keywords: polynomial splines, interpolation, convergence.

UDC: 517.518

Received: 30.08.2013


 English version: Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, 288, suppl. 1, 222–237

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© Steklov Math. Inst. of RAS, 2024