Sequential Regular Variation: Extensions of Kendall’s Theorem-Reference-Cited by-同舟云学术

Sequential Regular Variation: Extensions of Kendall’s Theorem

Published:2020-08-26 Issue:4 Volume:71 Page:1171-1200
ISSN:0033-5606
Container-title:The Quarterly Journal of Mathematics
language:en
Short-container-title:

Author:

Bingham Nicholas H¹,Ostaszewski Adam J²

Affiliation:

1. Mathematics Department, Imperial College, Imperial College Road, London SW7 2AZ, UK

2. Mathematics Department, London School of Economics, Houghton Street, London WC2A 2AE, UK

Abstract

Abstract Regular variation is a continuous-parameter theory; we work in a general setting, containing the existing Karamata, Bojanic–Karamata/de Haan and Beurling theories as special cases. We give sequential versions of the main theorems, that is, with sequential rather than continuous limits. This extends the main result, a theorem of Kendall’s (which builds on earlier work of Kingman and Croft), to the general setting.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/qjmath/article-pdf/71/4/1171/35093005/haaa019.pdf

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