Approximation on Simplices with Respect
โ
Dietrich Braess; Christoph Schwab
๐
Article
๐
2000
๐
Elsevier Science
๐
English
โ 120 KB
Inequalities of Jackson and Bernstein type are derived for polynomial approximation on simplices with respect to Sobolev norms. Although we cannot use orthogonal polynomials, sharp estimates are obtained from a decomposition into orthogonal subspaces. The formulas reflect the symmetries of simplices