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.
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页码：47 / 62
页数：16
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