𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the order of magnitude of fundamental polynomials of hermite interpolation

✍ Scribed by J. Szabados

Publisher
Akadmiai Kiad
Year
1993
Tongue
English
Weight
454 KB
Volume
61
Category
Article
ISSN
1588-2632

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Positivity of the Fundamental Pol
On the Positivity of the Fundamental Polynomials for Generalized Hermite–Fejér Interpolation on the Chebyshev Nodes
✍ Simon J. Smith 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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

Matrix expression of hermite interpolati
Matrix expression of hermite interpolation polynomials
✍ S. Kida; E. Trimandalawati; S. Ogawa 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 127 KB

For distinct points xo, xl,..., xn in R, a function f of Cd[a, b] and nonnegative integers do, dl,..., dn <\_ d, the Hermite interpolation polynomial of f(x) in Lagrange type determined by the = n d data{f(O(xi)}(i=O, 1 ..... n,l=O, 1 ... ## . ,di) isthepolynomialwithdegreem+n(m ~-~=o z) which is