Asymptotically double lacunry equivalent sequences defined by Orlicz functions

Detalhes bibliográficos
Autor(a) principal: Esi, Ayhan
Data de Publicação: 2014
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Acta scientiarum. Technology (Online)
Texto Completo: http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16391
Resumo: This paper presents the following definition which is natural combition of the definition for asymptotically equivalent and Orlicz function. The two nonnegative double sequences x=(x_{k,l}) and y=(y_{k,l}) are said to be M-asymptotically double equivalent to multiple L provided that for every ε>0, P-lim_{k,l}M(((|((x_{k,l})/(y_{k,l}))-L|)/ρ))=0, for some ρ>0, (denoted by x∽y) and simply M-asymptotically double equivalent if L=1. Also we give some new concepts related to this definition and some inclusion theorems.   
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spelling Asymptotically double lacunry equivalent sequences defined by Orlicz functionsasymptotically equivalencedouble sequencesP-convergentdouble lacunary sequence40A9940A0540B05This paper presents the following definition which is natural combition of the definition for asymptotically equivalent and Orlicz function. The two nonnegative double sequences x=(x_{k,l}) and y=(y_{k,l}) are said to be M-asymptotically double equivalent to multiple L provided that for every ε>0, P-lim_{k,l}M(((|((x_{k,l})/(y_{k,l}))-L|)/ρ))=0, for some ρ>0, (denoted by x∽y) and simply M-asymptotically double equivalent if L=1. Also we give some new concepts related to this definition and some inclusion theorems.   Universidade Estadual De Maringá2014-04-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionanálise vetorialapplication/pdfhttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/1639110.4025/actascitechnol.v36i2.16391Acta Scientiarum. Technology; Vol 36 No 2 (2014); 323-329Acta Scientiarum. Technology; v. 36 n. 2 (2014); 323-3291806-25631807-8664reponame:Acta scientiarum. Technology (Online)instname:Universidade Estadual de Maringá (UEM)instacron:UEMenghttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16391/12665Esi, Ayhaninfo:eu-repo/semantics/openAccess2014-04-04T15:34:15Zoai:periodicos.uem.br/ojs:article/16391Revistahttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/indexPUBhttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/oai||actatech@uem.br1807-86641806-2563opendoar:2014-04-04T15:34:15Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)false
dc.title.none.fl_str_mv Asymptotically double lacunry equivalent sequences defined by Orlicz functions
title Asymptotically double lacunry equivalent sequences defined by Orlicz functions
spellingShingle Asymptotically double lacunry equivalent sequences defined by Orlicz functions
Esi, Ayhan
asymptotically equivalence
double sequences
P-convergent
double lacunary sequence
40A99
40A05
40B05
title_short Asymptotically double lacunry equivalent sequences defined by Orlicz functions
title_full Asymptotically double lacunry equivalent sequences defined by Orlicz functions
title_fullStr Asymptotically double lacunry equivalent sequences defined by Orlicz functions
title_full_unstemmed Asymptotically double lacunry equivalent sequences defined by Orlicz functions
title_sort Asymptotically double lacunry equivalent sequences defined by Orlicz functions
author Esi, Ayhan
author_facet Esi, Ayhan
author_role author
dc.contributor.author.fl_str_mv Esi, Ayhan
dc.subject.por.fl_str_mv asymptotically equivalence
double sequences
P-convergent
double lacunary sequence
40A99
40A05
40B05
topic asymptotically equivalence
double sequences
P-convergent
double lacunary sequence
40A99
40A05
40B05
description This paper presents the following definition which is natural combition of the definition for asymptotically equivalent and Orlicz function. The two nonnegative double sequences x=(x_{k,l}) and y=(y_{k,l}) are said to be M-asymptotically double equivalent to multiple L provided that for every ε>0, P-lim_{k,l}M(((|((x_{k,l})/(y_{k,l}))-L|)/ρ))=0, for some ρ>0, (denoted by x∽y) and simply M-asymptotically double equivalent if L=1. Also we give some new concepts related to this definition and some inclusion theorems.   
publishDate 2014
dc.date.none.fl_str_mv 2014-04-04
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
análise vetorial
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16391
10.4025/actascitechnol.v36i2.16391
url http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16391
identifier_str_mv 10.4025/actascitechnol.v36i2.16391
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16391/12665
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Estadual De Maringá
publisher.none.fl_str_mv Universidade Estadual De Maringá
dc.source.none.fl_str_mv Acta Scientiarum. Technology; Vol 36 No 2 (2014); 323-329
Acta Scientiarum. Technology; v. 36 n. 2 (2014); 323-329
1806-2563
1807-8664
reponame:Acta scientiarum. Technology (Online)
instname:Universidade Estadual de Maringá (UEM)
instacron:UEM
instname_str Universidade Estadual de Maringá (UEM)
instacron_str UEM
institution UEM
reponame_str Acta scientiarum. Technology (Online)
collection Acta scientiarum. Technology (Online)
repository.name.fl_str_mv Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)
repository.mail.fl_str_mv ||actatech@uem.br
_version_ 1799315334932463616

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