Cookies?
Library Header Image
LSE Research Online LSE Library Services

Very slowly varying functions - II

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)
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: LSE-CDAM-2007-03
Date Deposited: 10 Jul 2008 09:07
URL: http://eprints.lse.ac.uk/6820/

Actions (login required)

Record administration - authorised staff only Record administration - authorised staff only