Lagrange interpolation on Chebyshev: Points of two variables

Abstract

We study interpolation polynomials based on the points in [-1, 1] x [-1, 1] that are common zeros of quasi-orthogonal Chebyshev polynomials and nodes of near minimal degree cubature formula. With the help of the cubature formula we establish the mean convergence of the interpolation polynomials. © 1996 Academic Press, Inc.