Fifty Years of Schoenberg's Problem on the Convergence of Spline Interpolation

被引：14
作者：
Volkov, Yu. S. [1 ,2 ]
Subbotin, Yu. N. [3 ,4 ]
机构：
[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
[3] Russian Acad Sci, Inst Math & Mech, Ural Branch, Ekaterinburg 620990, Russia
[4] Ural Fed Univ, Inst Math & Comp Sci, Ekaterinburg 620000, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2015年 / 288卷
基金：
俄罗斯基础研究基金会;
关键词：
polynomial splines; interpolation; convergence; OPTIMAL ERROR-BOUNDS; L-INFINITY-BOUNDEDNESS; CUBIC-SPLINES; LEBESGUE CONSTANTS; 3RD DERIVATIVES; ODD-DEGREE; APPROXIMATION; METRICS; NORM;
D O I：
10.1134/S0081543815020236
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A review of results on the convergence of the interpolation process for polynomial splines and derivatives in the last 50 years is given.
引用
收藏
页码：S222 / S237
页数：16
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