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On Stability with Respect to Linear Approximation

โœ Scribed by V. Yu. Slyusarchuk


Book ID
111602761
Publisher
Springer US
Year
2004
Tongue
English
Weight
150 KB
Volume
7
Category
Article
ISSN
1536-0059

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๐Ÿ“œ SIMILAR VOLUMES


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