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Very slowly varying functions - II

Bingham, N. H. and Ostaszewski, Adam (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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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:
Additional Information: © 2007 The Authors
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 10 Jul 2008 09:07
Last Modified: 16 May 2024 13:12

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