Generalization of a result of Borwein and Ditor
Harry I. Miller
Proc. Amer. Math. Soc. 105 (1989), 889-893
Primary 28A05; Secondary 26A21
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Abstract: D. Borwein and S. Z. Ditor have found a measurable subset of the real line having positive Lebesgue measure and a decreasing sequence of reals converging to zero such that, for each is not in for infinitely many ; thus answering a question of P. Erdös. It will be shown that the result of Borwein and Ditor can be extended using a general -place function in place of plus. Related material is also presented.
Borwein and S.
Z. Ditor, Translates of sequences in sets of positive measure,
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