Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)

Detalhes bibliográficos
Autor(a) principal: Mursaleen, Mohammad
Data de Publicação: 2015
Outros Autores: Mohiuddine, Syed Abdul
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/17300
Resumo: The concept of statistical summability (C, 1) has recently been introduced by Moricz (2002). In this paper, we use this notion of summability to prove the Korovkin type approximation theorem for functions of two variables. Finally we construct an example by Bleimann, Butzer and Hahn operators to show that our result is stronger than those of previously proved by other authors for ordinary convergence and statistical convergence. 
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spelling Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)statistical convergenceA–statistical convergencestatistical A–summabilitystatistical summability (C1)positive linear operatorKorovkin type approximation theorem.The concept of statistical summability (C, 1) has recently been introduced by Moricz (2002). In this paper, we use this notion of summability to prove the Korovkin type approximation theorem for functions of two variables. Finally we construct an example by Bleimann, Butzer and Hahn operators to show that our result is stronger than those of previously proved by other authors for ordinary convergence and statistical convergence. Universidade Estadual De Maringá2015-05-29info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/1730010.4025/actascitechnol.v37i2.17300Acta Scientiarum. Technology; Vol 37 No 2 (2015); 237-243Acta Scientiarum. Technology; v. 37 n. 2 (2015); 237-2431806-25631807-8664reponame:Acta scientiarum. Technology (Online)instname:Universidade Estadual de Maringá (UEM)instacron:UEMenghttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/17300/pdf_84Mursaleen, MohammadMohiuddine, Syed Abdulinfo:eu-repo/semantics/openAccess2015-07-03T14:44:16Zoai:periodicos.uem.br/ojs:article/17300Revistahttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/indexPUBhttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/oai||actatech@uem.br1807-86641806-2563opendoar:2015-07-03T14:44:16Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)false
dc.title.none.fl_str_mv Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)
title Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)
spellingShingle Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)
Mursaleen, Mohammad
statistical convergence
A–statistical convergence
statistical A–summability
statistical summability (C
1)
positive linear operator
Korovkin type approximation theorem.
title_short Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)
title_full Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)
title_fullStr Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)
title_full_unstemmed Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)
title_sort Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)
author Mursaleen, Mohammad
author_facet Mursaleen, Mohammad
Mohiuddine, Syed Abdul
author_role author
author2 Mohiuddine, Syed Abdul
author2_role author
dc.contributor.author.fl_str_mv Mursaleen, Mohammad
Mohiuddine, Syed Abdul
dc.subject.por.fl_str_mv statistical convergence
A–statistical convergence
statistical A–summability
statistical summability (C
1)
positive linear operator
Korovkin type approximation theorem.
topic statistical convergence
A–statistical convergence
statistical A–summability
statistical summability (C
1)
positive linear operator
Korovkin type approximation theorem.
description The concept of statistical summability (C, 1) has recently been introduced by Moricz (2002). In this paper, we use this notion of summability to prove the Korovkin type approximation theorem for functions of two variables. Finally we construct an example by Bleimann, Butzer and Hahn operators to show that our result is stronger than those of previously proved by other authors for ordinary convergence and statistical convergence. 
publishDate 2015
dc.date.none.fl_str_mv 2015-05-29
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/17300
10.4025/actascitechnol.v37i2.17300
url http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/17300
identifier_str_mv 10.4025/actascitechnol.v37i2.17300
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/17300/pdf_84
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 37 No 2 (2015); 237-243
Acta Scientiarum. Technology; v. 37 n. 2 (2015); 237-243
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
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