Bingham, N. H. and Ostaszewski, Adam (2007) Very slowly varying functions - II. LSE-CDAM-2007-03. London school of economics and political science, London, UK.
Full text not available from this repository.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 London school of economics and political science |
| Library of Congress subject classification: | H Social Sciences > H Social Sciences (General) |
| Sets: | Departments > Mathematics Research centres and groups > Computational, Discrete and Applicable Mathematics@LSE (CDAM) |
| Identification Number: | LSE-CDAM-2007-03 |
| Date Deposited: | 10 Jul 2008 09:07 |
| URL: | http://eprints.lse.ac.uk/6820/ |
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