Article ID Journal Published Year Pages File Type
4598243 Journal of Pure and Applied Algebra 2007 12 Pages PDF
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 n≤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
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