Lebesgue Constants for Some Interpolating L-Splines

被引：0

作者：

Novikov, S. I. ^{[1
]}

机构：

[1] Russian Acad Sci, Krasovskii Inst Math & Mech, Ural Branch, Ekaterinburg 620990, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2018年 / 300卷

关键词：

interpolation; spline; Lebesgue constant;

D O I：

10.1134/S008154381802013X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We find exact values for the uniform Lebesgue constants of interpolating L-splines that are bounded on the real axis, have equidistant knots, and correspond to the linear third-order differential operator L-3(D) = D(D-2 + alpha(2)) with constant real coefficients, where alpha > 0. We compare the obtained result with the Lebesgue constants of other L-splines.

引用

页码：136 / 144

页数：9

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