Rapidly varying sequences and rapid convergence
type: Item
instance of: scholarly article
title: Rapidly varying sequences and rapid convergence
zbMATH Open document ID: 1154.54002
published in: Topology and its Applications
publication date: 2008-11-12T00:00:00Z
review text: Continuing their investigation of classes of sequences of positive real numbers [e.g.,\textit{D. Djurčić, Lj. D. R. Kočinac} and \textit{M. R. Žižović} J. Math. Appl. 327, No. 2, 1297--1306 (2007; Zbl 1116.26002)], the authors study the classes of rapidly varying, (almost) regularly varying and, introduced in this paper, rapidly convergent sequences. Amongst others, they show that these classes satisfy some selection principles and game theoretical properties.
reviewed by: Bernhard Behrens
Mathematics Subject Classification ID: 54A20
Mathematics Subject Classification ID: 26A12
Mathematics Subject Classification ID: 40A05
Mathematics Subject Classification ID: 91A20
zbMATH DE Number: 5365229
zbMATH Keywords: rapid variability of index of variability \(\pm\infty\)
zbMATH Keywords: (almost) regular variability
author: Dragan Djurčić
author: Ljubiša D. R. Kočinac
author: Mališa R. Žižović
MaRDI profile type: Publication
full work available at URL: j.topol.2007.05.026
OpenAlex ID: W2001343116
cites work: Q4726487
cites work: \(\mathcal O\)-regularly varying functions and strong asymptotic equivalence
cites work: Some properties of rapidly varying sequences
cites work: On increasing rapidly varying sequences
cites work: Classes of sequences of real numbers, games and selection properties
cites work: On the Seneta sequences
cites work: Q5633348
cites work: Some covering properties of hyperspaces
cites work: Meager-Nowhere Dense Games (II): Coding Strategies
cites work: Combinatorics of open covers. I: Ramsey theory
cites work: Regularly varying functions
cites work: On the Kočinac \(\alpha_i\) properties
DOI: 10.1016/J.TOPOL.2007.05.026
description: scientific article; zbMATH DE number 5365229