Fuzzy Ostrowski type inequalities

Detalhes bibliográficos
Autor(a) principal: Anastassiou,George A.
Data de Publicação: 2003
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000200007
Resumo: We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over [a,b] <FONT FACE=Symbol>Ì</FONT> R, error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions. These inequalities are given for fuzzy Hölder and fuzzy differentiable functions and these facts are reflected in their right-hand sides.
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spelling Fuzzy Ostrowski type inequalitiesFuzzy inequalitiesOstrowski inequalityFuzzy real analysisWe present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over [a,b] <FONT FACE=Symbol>Ì</FONT> R, error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions. These inequalities are given for fuzzy Hölder and fuzzy differentiable functions and these facts are reflected in their right-hand sides.Sociedade Brasileira de Matemática Aplicada e Computacional2003-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000200007Computational &amp; Applied Mathematics v.22 n.2 2003reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S0101-82052003000200007info:eu-repo/semantics/openAccessAnastassiou,George A.eng2004-07-19T00:00:00Zoai:scielo:S1807-03022003000200007Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2004-07-19T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Fuzzy Ostrowski type inequalities
title Fuzzy Ostrowski type inequalities
spellingShingle Fuzzy Ostrowski type inequalities
Anastassiou,George A.
Fuzzy inequalities
Ostrowski inequality
Fuzzy real analysis
title_short Fuzzy Ostrowski type inequalities
title_full Fuzzy Ostrowski type inequalities
title_fullStr Fuzzy Ostrowski type inequalities
title_full_unstemmed Fuzzy Ostrowski type inequalities
title_sort Fuzzy Ostrowski type inequalities
author Anastassiou,George A.
author_facet Anastassiou,George A.
author_role author
dc.contributor.author.fl_str_mv Anastassiou,George A.
dc.subject.por.fl_str_mv Fuzzy inequalities
Ostrowski inequality
Fuzzy real analysis
topic Fuzzy inequalities
Ostrowski inequality
Fuzzy real analysis
description We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over [a,b] <FONT FACE=Symbol>Ì</FONT> R, error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions. These inequalities are given for fuzzy Hölder and fuzzy differentiable functions and these facts are reflected in their right-hand sides.
publishDate 2003
dc.date.none.fl_str_mv 2003-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000200007
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000200007
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0101-82052003000200007
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational &amp; Applied Mathematics v.22 n.2 2003
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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