Extremal Polynomials and Entire Functions of Exponential Type

被引：2

作者：

Revers, Michael ^{[1
]}

机构：

[1] Univ Salzburg, Dept Math, Hellbrunnerstr 34, A-5020 Salzburg, Austria

来源：

RESULTS IN MATHEMATICS | 2018年 / 73卷 / 03期

关键词：

Lagrange interpolation; Bernstein constant; Chebyshev nodes; entire functions of exponential type; best uniform approximation; INTERPOLATION; APPROXIMATION;

D O I：

10.1007/s00025-018-0870-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss asymptotic relations for the approximation of in by Lagrange interpolation polynomials based on the zeros of the Chebyshev polynomials of first kind. The limiting process reveals an entire function of exponential type for which we can present an explicit formula.

引用

页数：13

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