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Approximation with respect to sums of chebyshev norms

โœ Scribed by Charles B. Dunham


Publisher
Springer
Year
1972
Tongue
English
Weight
69 KB
Volume
8
Category
Article
ISSN
0001-9054

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Approximation on Simplices with Respect
โœ Dietrich Braess; Christoph Schwab ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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