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arXiv · 1301.5894

Uniformity and self-neglecting functions

N. H. Bingham·A. J. Ostaszewski
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Abstract

We relax the continuity assumption in Bloom's uniform convergence theorem for Beurling slowly varying functions ϕ. We assume that ϕhas the Darboux property, and obtain results for ϕmeasurable or having the Baire property.

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N. H. Bingham, A. J. Ostaszewski. 2013-01-24. Uniformity and self-neglecting functions. https://arxiv.org/abs/1301.5894

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