✦ LIBER ✦

Interpolation at a Few Points

✍ Scribed by Daniel Wulbert

Book ID: 102579501
Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 107 KB
Volume: 96
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1998.3224

No coin nor oath required. For personal study only.

✦ Synopsis

For k=2 and 3, B. Shekhtman proved that n+k&1 is the smallest dimension of a subspace, F C(R n ) that can interpolate to k specified real values at k distinct points in R n . Here we characterize such spaces that interpolate at a few points. The characterization provides an economical proof of Shekhtman's theorems, as well as establishing new properties of these spaces.

📜 SIMILAR VOLUMES

Newton interpolation at Leja points

✍ Lothar Reichel 📂 Article 📅 1990 🏛 Springer Netherlands 🌐 English ⚖ 791 KB

Bivariate spline interpolation at grid p

Bivariate spline interpolation at grid points

✍ G. Nürnberger; Th. Riessinger 📂 Article 📅 1995 🏛 Springer-Verlag 🌐 English ⚖ 251 KB

Multivariate interpolation at arbitrary

Multivariate interpolation at arbitrary points made simple

✍ Jean Meinguet 📂 Article 📅 1979 🏛 Springer 🌐 English ⚖ 647 KB

A note on quadratic spline interpolation

A note on quadratic spline interpolation at mid-points

✍ Riaz A. Usmani; Manabu Sakai 📂 Article 📅 1982 🏛 Springer Netherlands 🌐 English ⚖ 225 KB

Interpolation at equidistant points by a

Interpolation at equidistant points by a sum of exponential functions

✍ Avram Sidi 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 651 KB

Bivariate Lagrange interpolation at the

Bivariate Lagrange interpolation at the Padua points: Computational aspects

✍ Marco Caliari; Stefano De Marchi; Marco Vianello 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 370 KB

The so-called "Padua points" give a simple, geometric and explicit construction of bivariate polynomial interpolation in the square. Moreover, the associated Lebesgue constant has minimal order of growth O(log 2 (n)). Here we show four families of Padua points for interpolation at any even or odd de