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On the Pierce–Birkhoff conjecture in three variables
- Source :
-
Journal of Pure & Applied Algebra . Nov2007, Vol. 211 Issue 2, p459-470. 12p. - Publication Year :
- 2007
-
Abstract
- Abstract: The so called “Pierce–Birkhoff Conjecture” asserts that a continuous function on 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 . In this paper we show that for such an Inf–Sup description may be obtained outside an arbitrarily small neighborhood of a finite fixed set of points depending only on . [Copyright &y& Elsevier]
- Subjects :
- *CONTINUOUS functions
*GROUPS
*SOCIOLOGY
*BUSINESS networks
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 211
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 25412903
- Full Text :
- https://doi.org/10.1016/j.jpaa.2007.01.012