An improved estimate on the degree of approximation to functions of bounded variation by certain operators

Guo introduced a modification Mn (f, x) of the Meyer-König- Zeller operators Mn (f, x) and gave an estimate on the rate of convergence to f of the modified operators when f is a function of bounded variation. In the present paper we establish a sharp estimate on the operators Mn (J, x) using some re...

Full description

Autores:
Gupta, Vijay
Ahmad, Aquil
Tipo de recurso:
Article of journal
Fecha de publicación:
1995
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43565
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43565
http://bdigital.unal.edu.co/33663/
Palabra clave:
Approximation operators
rate of convergence of approximation operators
functions of bounded variation
random variables
probability distributions
moments and means
Bernstein polynomials
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/43565
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network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Gupta, Vijaye0b6d0ec-aef4-4bb6-a6ca-ca5bd3327537300Ahmad, Aquil449235e3-3071-49ee-9bdb-d464d20978c93002019-06-28T12:08:35Z2019-06-28T12:08:35Z1995https://repositorio.unal.edu.co/handle/unal/43565http://bdigital.unal.edu.co/33663/Guo introduced a modification Mn (f, x) of the Meyer-König- Zeller operators Mn (f, x) and gave an estimate on the rate of convergence to f of the modified operators when f is a function of bounded variation. In the present paper we establish a sharp estimate on the operators Mn (J, x) using some results in probability theory.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33549Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 29, núm. 2 (1995); 119-126 0034-7426Gupta, Vijay and Ahmad, Aquil (1995) An improved estimate on the degree of approximation to functions of bounded variation by certain operators. Revista Colombiana de Matemáticas; Vol. 29, núm. 2 (1995); 119-126 0034-7426 .An improved estimate on the degree of approximation to functions of bounded variation by certain operatorsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTApproximation operatorsrate of convergence of approximation operatorsfunctions of bounded variationrandom variablesprobability distributionsmoments and meansBernstein polynomialsORIGINAL33549-124568-1-PB.pdfapplication/pdf2078304https://repositorio.unal.edu.co/bitstream/unal/43565/1/33549-124568-1-PB.pdfcb894df05a154809e239b77c6aed3b57MD51THUMBNAIL33549-124568-1-PB.pdf.jpg33549-124568-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6425https://repositorio.unal.edu.co/bitstream/unal/43565/2/33549-124568-1-PB.pdf.jpg9df4d9b2568cfe1d9908d938158aceafMD52unal/43565oai:repositorio.unal.edu.co:unal/435652023-02-13 23:04:04.379Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv An improved estimate on the degree of approximation to functions of bounded variation by certain operators
title An improved estimate on the degree of approximation to functions of bounded variation by certain operators
spellingShingle An improved estimate on the degree of approximation to functions of bounded variation by certain operators
Approximation operators
rate of convergence of approximation operators
functions of bounded variation
random variables
probability distributions
moments and means
Bernstein polynomials
title_short An improved estimate on the degree of approximation to functions of bounded variation by certain operators
title_full An improved estimate on the degree of approximation to functions of bounded variation by certain operators
title_fullStr An improved estimate on the degree of approximation to functions of bounded variation by certain operators
title_full_unstemmed An improved estimate on the degree of approximation to functions of bounded variation by certain operators
title_sort An improved estimate on the degree of approximation to functions of bounded variation by certain operators
dc.creator.fl_str_mv Gupta, Vijay
Ahmad, Aquil
dc.contributor.author.spa.fl_str_mv Gupta, Vijay
Ahmad, Aquil
dc.subject.proposal.spa.fl_str_mv Approximation operators
rate of convergence of approximation operators
functions of bounded variation
random variables
probability distributions
moments and means
Bernstein polynomials
topic Approximation operators
rate of convergence of approximation operators
functions of bounded variation
random variables
probability distributions
moments and means
Bernstein polynomials
description Guo introduced a modification Mn (f, x) of the Meyer-König- Zeller operators Mn (f, x) and gave an estimate on the rate of convergence to f of the modified operators when f is a function of bounded variation. In the present paper we establish a sharp estimate on the operators Mn (J, x) using some results in probability theory.
publishDate 1995
dc.date.issued.spa.fl_str_mv 1995
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:08:35Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:08:35Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/43565
http://bdigital.unal.edu.co/33663/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33549
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 29, núm. 2 (1995); 119-126 0034-7426
dc.relation.references.spa.fl_str_mv Gupta, Vijay and Ahmad, Aquil (1995) An improved estimate on the degree of approximation to functions of bounded variation by certain operators. Revista Colombiana de Matemáticas; Vol. 29, núm. 2 (1995); 119-126 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/43565/1/33549-124568-1-PB.pdf
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