Von Mises-type conditions in second order regular variation
type: Item
instance of: scholarly article
title: Von Mises-type conditions in second order regular variation
zbMATH Open document ID: 0857.26002
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-07-14T00:00:00Z
full work available at URL: http://repub.eur.nl/pub/54947
review text: A function \(f\) is of extended regular variation of second-order if \[ \lim_{t\to\infty} {f(tx)-f(t)-a(t)(x^\gamma-1)/\gamma\over c(t)}= \int^x_1 s^{\gamma-1}\int^s_1 u^{\rho-1}du ds \] for some (positive) functions \(a\) and \(c\). Here \(\gamma\in\mathbb{R}\) and \(\rho\leq0\). The author gives sufficient conditions involving derivatives.
reviewed by: Eugene Seneta
Mathematics Subject Classification ID: 26A12
zbMATH DE Number: 902448
zbMATH Keywords: extended regular variation
zbMATH Keywords: derivatives
author: Laurens De Haan
MaRDI profile type: Publication
OpenAlex ID: W2166890824
DOI: 10.1006/JMAA.1996.0028
description: scientific article; zbMATH DE number 902448