Unconditionally Convergent Rational Interpolation Splines

被引：6

作者：

Ramazanov, A. -R. K. ^{[1
,2
]}

Magomedova, V. G. ^{[1
]}

机构：

[1] Daghestan State Univ, Makhachkala, Russia

[2] Russian Acad Sci, Daghestan Res Ctr, Makhachkala, Russia

来源：

MATHEMATICAL NOTES | 2018年 / 103卷 / 3-4期

关键词：

rational spline; interpolation spline; convergence of splines; CUBIC SPLINE;

D O I：

10.1134/S0001434618030318

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a continuous function on a closed interval, a sequence of rational interpolation splines is constructed which converges uniformly on this closed interval to the given function for any sequence of grids with step width tending to zero. The derivatives possess this unconditional convergence property as well. Estimates of the rate of convergence are given.

引用

页码：635 / 644

页数：10

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