Shape-preserving bivariate polynomial approximation inC([−1,1]×[−1,1])
✍ Scribed by Sorin G. Gal
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 298 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1573-8175
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Extending the results from the univariate case in a paper by Gal and Szabados, in this paper, we prove that the bivariate interpolation operators of Hermite-Fej@r preserve some kinds of monotonicity and convexity of bivariate functions, in the neighborhoods of some points. Also, quantitative results
In this note we will show that for \(0<p<1\) simultaneous polynomial approximation is not possible. "1995 Academic Press. Inc.
In response to a question of R. Kenyon, we prove that the set of polynomials with coefficients \1, evaluated at a fixed real number %, is dense in R for a.e. % # (-2, 2). For % # (1, -2], a more complete result can be obtained by elementary methods.