Bounds on the Range of Multivariate Rational Functions

Garloff, Jürgen; Schabert, Antek; Smith, Andrew P.

Bounds on the Range of Multivariate Rational Functions

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2012

Autor:innen

Garloff, Jürgen

Schabert, Antek

Smith, Andrew P.

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

PAMM. 2012, 12(1), pp. 649-650. ISSN 1617-7061. Available under: doi: 10.1002/pamm.201210313

Zusammenfassung

By utilising the expansion of a polynomial into Bernstein polynomials, we construct bounds for the range of a multivariate rational function over a box.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Bernstein polynomials, rational function, range enclosure

Zitieren

ISO 690

GARLOFF, Jürgen, Antek SCHABERT, Andrew P. SMITH, 2012. Bounds on the Range of Multivariate Rational Functions. In: PAMM. 2012, 12(1), pp. 649-650. ISSN 1617-7061. Available under: doi: 10.1002/pamm.201210313

BibTex

@article{Garloff2012Bound-21977,
  year={2012},
  doi={10.1002/pamm.201210313},
  title={Bounds on the Range of Multivariate Rational Functions},
  number={1},
  volume={12},
  issn={1617-7061},
  journal={PAMM},
  pages={649--650},
  author={Garloff, Jürgen and Schabert, Antek and Smith, Andrew P.}
}

RDF

<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/21977">
    <dc:creator>Schabert, Antek</dc:creator>
    <dcterms:issued>2012</dcterms:issued>
    <dc:contributor>Garloff, Jürgen</dc:contributor>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-03-19T11:52:00Z</dcterms:available>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Smith, Andrew P.</dc:contributor>
    <dc:contributor>Schabert, Antek</dc:contributor>
    <dc:language>eng</dc:language>
    <dc:creator>Garloff, Jürgen</dc:creator>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:creator>Smith, Andrew P.</dc:creator>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:bibliographicCitation>Proceedings in Applied Mathematics and Mechanics PAMM ; 12 (2012). - S. 649-650</dcterms:bibliographicCitation>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:title>Bounds on the Range of Multivariate Rational Functions</dcterms:title>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-03-19T11:52:00Z</dc:date>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/21977"/>
    <dcterms:abstract xml:lang="eng">By utilising the expansion of a polynomial into Bernstein polynomials, we construct bounds for the range of a multivariate rational function over a box.</dcterms:abstract>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Ja