Polynomial interpolation in R3

✍ Scribed by B. Shekhtman

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 301 KB
• Volume: 48
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2004.10.022

✦ Synopsis

In this article, we exhibit a 12-dimensional subspace G of polynomials of three variables of degree 3 which interpolates at an arbitrary 4 points, i.e., for every four distinct points Ul,U2,U3,U4 E R3 and for every function f E C(R3), there exists a function 9 E G such that 9(uj) = f(uj), for j = 1, 2, 3,4. (~)