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Approximation by Polynomials with Coefficients ±1

✍ Scribed by Yuval Peres; Boris Solomyak

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
150 KB
Volume
84
Category
Article
ISSN
0022-314X

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✦ Synopsis

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.

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