Bivariate Lagrange interpolation at the Padua points: the ideal theory approach
Bivariate Lagrange interpolation at the Padua points: the ideal theory approach
复制标题
帕多瓦点的双变量拉格朗日插值：理想的理论方法
作者：
L. Bos;S. Marchi;M. Vianello;Yuan Xu
帕多瓦点是平方[− 1，1]2上的一族点，由明确的公式给出，允许二元多项式的唯一拉格朗日插值。从理想理论的角度研究了基于Padua点的插值多项式和求积公式，发现了插值多项式的一个紧致公式.研究了插值多项式的Lp收敛性。
The Padua points are a family of points on the square [−1, 1]2 given by explicit formulas that admits unique Lagrange interpolation by bivariate polynomials. Interpolation polynomials and cubature formulas based on the Padua points are studied from an ideal theoretic point of view, which leads to the discovery of a compact formula for the interpolation polynomials. The Lp convergence of the interpolation polynomials is also studied.