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- W2018908534 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." @default.
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- W2018908534 date "2007-11-01" @default.
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- W2018908534 title "On the Pierce–Birkhoff conjecture in three variables" @default.
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- W2018908534 doi "https://doi.org/10.1016/j.jpaa.2007.01.012" @default.
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