On Asymptotically Lacunary Statistical Equivalent Set Sequences

This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence. In addition, we also present asymptotically equivalent (Wijsman sense) analogs of theorems in Patterso...

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Main Authors: Uğur Ulusu, Fatih Nuray
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2013/310438
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author Uğur Ulusu
Fatih Nuray
author_facet Uğur Ulusu
Fatih Nuray
author_sort Uğur Ulusu
collection DOAJ
description This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence. In addition, we also present asymptotically equivalent (Wijsman sense) analogs of theorems in Patterson and Savaş (2006).
format Article
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institution Kabale University
issn 2314-4629
2314-4785
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-b5a4bd9452f04e8c86d504a2ad0597b32025-02-03T06:11:32ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/310438310438On Asymptotically Lacunary Statistical Equivalent Set SequencesUğur Ulusu0Fatih Nuray1Department of Mathematics, Faculty of Science and Literature, Afyon Kocatepe University, 03200 Afyonkarahisar, TurkeyDepartment of Mathematics, Faculty of Science and Literature, Afyon Kocatepe University, 03200 Afyonkarahisar, TurkeyThis paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence. In addition, we also present asymptotically equivalent (Wijsman sense) analogs of theorems in Patterson and Savaş (2006).http://dx.doi.org/10.1155/2013/310438
spellingShingle Uğur Ulusu
Fatih Nuray
On Asymptotically Lacunary Statistical Equivalent Set Sequences
Journal of Mathematics
title On Asymptotically Lacunary Statistical Equivalent Set Sequences
title_full On Asymptotically Lacunary Statistical Equivalent Set Sequences
title_fullStr On Asymptotically Lacunary Statistical Equivalent Set Sequences
title_full_unstemmed On Asymptotically Lacunary Statistical Equivalent Set Sequences
title_short On Asymptotically Lacunary Statistical Equivalent Set Sequences
title_sort on asymptotically lacunary statistical equivalent set sequences
url http://dx.doi.org/10.1155/2013/310438
work_keys_str_mv AT ugurulusu onasymptoticallylacunarystatisticalequivalentsetsequences
AT fatihnuray onasymptoticallylacunarystatisticalequivalentsetsequences