K-moduli, moduli of smoothness, and Bernstein polynomials on a simplex
โ Scribed by H. Berens; Y. Xu
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 525 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0019-3577
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The best polynomial approximation is closely related to the DitzianแTotik modulus of smoothness. In 1988, Z. Ditzian and V. Totik gave some equivalences between them and the class of Besov-type spaces B p with 1 F p F ฯฑ and โฃ, s 1 F s F ฯฑ. We extend these equivalences to the similar Besov-type space
Kim and Ahn proved that the best constrained degree reduction of a polynomial over d-dimensional simplex domain in L 2 -norm equals the best approximation of weighted Euclidean norm of the Bernstein-Bรฉzier coefficients of the given polynomial. In this paper, we presented a counterexample to show tha