Convergence of Lagrange interpolation on the non uniform nodes on the unit circle

被引：2

作者：

Bahadur, Swarnima ^{[1
]}

Varun ^{[1
]}

机构：

[1] Univ Lucknow, Dept Math & Astron, Lucknow, Uttar Pradesh, India

来源：

ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2022年 / 15卷 / 02期

关键词：

unit circle; non-uniform nodes; Jacobi polynomial; rate of convergence; Lagrange interpolation;

D O I：

10.32513/asetmj/19322008219

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This research article aims to staunchly study the approximation using Lagrange interpolation on the unit circle. Nodal system constitutes the vertically projected zeros of Jacobi polynomial onto the unit circle with boundary points at +/- 1. Moreover, convergence is obtained by considering analytic functions on a suitable domain accompanied by some numerical experiments.

引用

页码：101 / 111

页数：11

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