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Polynomials with positive coefficients: Uniqueness of best approximation

✍ Scribed by Eli Passow


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
198 KB
Volume
21
Category
Article
ISSN
0021-9045

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Approximation by Polynomials with Coeffi
✍ Yuval Peres; Boris Solomyak πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 150 KB

In response to a question of R. Kenyon, we prove that the set of polynomials with coefficients \1, evaluated at a fixed real number %, is dense in R for a.e. % # (-2, 2). For % # (1, -2], a more complete result can be obtained by elementary methods.