Very slowly varying functions - II

Bingham, N. H. and Ostaszewski, Adam ORCID: 0000-0003-2630-8663 (2007) Very slowly varying functions - II. CDAM Research Report Series (2007-03). London School of Economics and Political Science, London, UK.

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Abstract

This paper is a sequel to both Ash, Erdös and Rubel AER, on very slowly varying functions, and BOst1, on foundations of regular variation. We show that generalizations of the Ash-Erdös-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. Keywords: Slow variation, Uniform Convergence Theorem, Heiberg-Lipschitz condition, Heiberg-Seneta theorem.

Item Type:	Monograph (Report)
Official URL:	http://www.cdam.lse.ac.uk/Reports/
Additional Information:	© 2007 The Authors
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	10 Jul 2008 09:07
Last Modified:	11 Sep 2025 02:54
URI:	http://eprints.lse.ac.uk/id/eprint/6820

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