Very slowly varying functions. II

Bingham, N. H. and Ostaszewski, Adam ORCID: 0000-0003-2630-8663 (2009) Very slowly varying functions. II. Colloquium Mathematicum, 116 (1). 105 - 117. ISSN 0010-1354

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Abstract

This paper is a sequel to papers by Ash, Erdős and Rubel, on very slowly varying functions, and by Bingham and Ostaszewski, on foundations of regular variation. We show that generalizations of the Ash–Erdős–Rubel approach—imposing growth restrictions on the function h, rather than regularity conditions such as measurability or the Baire property—lead naturally to the main result of regular variation, the Uniform Convergence Theorem.

Item Type:	Article
Official URL:	http://journals.impan.pl/cm/index.html
Additional Information:	© 2009 IMPAN
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	30 Apr 2009 13:41
Last Modified:	01 Oct 2024 03:35
URI:	http://eprints.lse.ac.uk/id/eprint/23832

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