论文信息 - The optimal symmetrical points for polynomial interpolation of real functions in the tetrahedron

The optimal symmetrical points for polynomial interpolation of real functions in the tetrahedron

Abstract The main result of this paper is the computation of the mean optimal symmetrical interpolation points in the tetrahedron up to degree 9. This interpoation set has the smallest Lebesgue constant known today.

Ivo Babuška | I. Babuska | Qi Chen | Qi Chen

[1] Len Bos. Bounding the Lebesgue function for Lagrange interpolation in a simplex , 1983 .

[2] K. Chung,et al. On Lattices Admitting Unique Lagrange Interpolations , 1977 .

[3] I. Babuska,et al. Finite Element Analysis , 2021 .

[4] Andrei Andreev,et al. Approximation and interpolation theory , 1994 .

[5] Ivo Babuška,et al. Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle , 1995 .