𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Bernstein Constant and Polynomial Interpolation at the Chebyshev Nodes

✍ Scribed by Michael I. Ganzburg


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
193 KB
Volume
119
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On Rational Interpolation to |x| at the
✍ Lev Brutman πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 167 KB

Recently Brutman and Passow considered Newman-type rational interpolation to |x| induced by arbitrary sets of symmetric nodes in [&1, 1] and showed that under mild restrictions on the location of the interpolation nodes, the corresponding sequence of rational interpolants converges to |x|. They also

On the Positivity of the Fundamental Pol
✍ Simon J. Smith πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 90 KB

It is shown that the fundamental polynomials for (0, 1, ..., 2m+1) Hermite Feje r interpolation on the zeros of the Chebyshev polynomials of the first kind are nonnegative for &1 x 1, thereby generalising a well-known property of the original Hermite Feje r interpolation method. As an application of

Fast evaluation and interpolation at the
✍ Victor Pan πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 279 KB

Stable polynomial evaluation and interpolation at n Chebyshev or adjusted (expanded) Chebyshev points is performed using O(nlog' n) arithmetic operations, to be compared with customary algorithms either using on the order of n\* operations or being unstable. We also evaluate a polynomial of degree d