Birkhoff interpolation on some perturbed roots of unity: Revisited

被引：6

作者：

Bokhari, MA

Dikshit, HP

Sharma, A

机构：

[1] KF Univ Petr & Minerals, Dept Math Sci, Dhahran, Saudi Arabia

[2] MP Bhoj Open Univ, Bhopal 462016, India

[3] RD Univ, Dept Math & Comp Sci, Jabalpur 482001, India

[4] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada

来源：

NUMERICAL ALGORITHMS | 2000年 / 25卷 / 1-4期

关键词：

Birkhoff interpolation; polynomials; roots of unity; lacunary interpolation; regularity;

D O I：

10.1023/A:1016658419067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the regularity of Birkhoff interpolation on some non-uniformly distributed roots of unity. We determine the range of values of xi in the complex plane which makes the problem of lacunary interpolation on the zeros of (z(n) + 1)(z - xi) regular.

引用

页码：47 / 62

页数：16

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