Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598243 | Journal of Pure and Applied Algebra | 2007 | 12 Pages |
Abstract
The so called “Pierce-Birkhoff Conjecture” asserts that a continuous function h on Rn piecewise polynomial on a finite number of pieces may be written as finitely many Sup and Inf of polynomials. Up to now a positive answer is known for nâ¤2. In this paper we show that for n=3 such an Inf-Sup description may be obtained outside an arbitrarily small neighborhood of a finite fixed set of points depending only on h.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Louis Mahé,