Asymptotically double lacunry equivalent sequences defined by Orlicz functions
Autor(a) principal: | |
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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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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 |