Uniformity and self-neglecting functions
classification
🧮 math.CA
math.PR
keywords
functionspropertyassumeassumptionbairebeurlingbloomcontinuity
read the original abstract
We relax the continuity assumption in Bloom's uniform convergence theorem for Beurling slowly varying functions \phi. We assume that \phi has the Darboux property, and obtain results for \phi measurable or having the Baire property.
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