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.
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)|
|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)
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