Bivariate Lagrange interpolation based on Chebyshev points of the second kind

被引：0

作者：

J. Liu

L. Y. Zhu

机构：

[1] Renmin University of China,School of Mathematics

[2] Handan University,School of Mathematics and Physics

来源：

Acta Mathematica Hungarica | 2019年 / 159卷

关键词：

Chebyshev polynomial of the second kind; interpolation polynomial; cubature formula; mean convergence; 41A63; 65D05; 65D32;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give compact formulae of the Lagrange interpolation polynomials and cubature formulae based on the common zeros of product Chebyshev polynomials of the second kind. Further, for 0<p≤2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$0<p\leq2$$\end{document}, we study the mean convergence of the Lagrange interpolation polynomials.

引用

页码：618 / 637

页数：19

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