On the Sequence of Errors in Best Polynomial Approximation
Identifieur interne : 002473 ( Main/Exploration ); précédent : 002472; suivant : 002474On the Sequence of Errors in Best Polynomial Approximation
Auteurs : Wolfgang Gehlen [Allemagne]Source :
- Journal of Approximation Theory [ 0021-9045 ] ; 1997.
Abstract
We consider the sequence of errors (En(f))nof best uniform approximation to a functionf∈C[−1, 1] by algebraic polynomials. It is shown that the regularity offin subsets of [−1, 1] implies certain conditions on the sequence (En(f))n.
Url:
DOI: 10.1006/jath.1996.3033
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 000A96
- to stream Istex, to step Curation: 000A33
- to stream Istex, to step Checkpoint: 000F45
- to stream Main, to step Merge: 002908
- to stream Main, to step Curation: 002473
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">On the Sequence of Errors in Best Polynomial Approximation</title>
<author><name sortKey="Gehlen, Wolfgang" sort="Gehlen, Wolfgang" uniqKey="Gehlen W" first="Wolfgang" last="Gehlen">Wolfgang Gehlen</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:04425F05EF2B35A77F002EEC6C3D78393495F8BF</idno>
<date when="1997" year="1997">1997</date>
<idno type="doi">10.1006/jath.1996.3033</idno>
<idno type="url">https://api.istex.fr/document/04425F05EF2B35A77F002EEC6C3D78393495F8BF/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">000A96</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000A96</idno>
<idno type="wicri:Area/Istex/Curation">000A33</idno>
<idno type="wicri:Area/Istex/Checkpoint">000F45</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000F45</idno>
<idno type="wicri:doubleKey">0021-9045:1997:Gehlen W:on:the:sequence</idno>
<idno type="wicri:Area/Main/Merge">002908</idno>
<idno type="wicri:Area/Main/Curation">002473</idno>
<idno type="wicri:Area/Main/Exploration">002473</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">On the Sequence of Errors in Best Polynomial Approximation</title>
<author><name sortKey="Gehlen, Wolfgang" sort="Gehlen, Wolfgang" uniqKey="Gehlen W" first="Wolfgang" last="Gehlen">Wolfgang Gehlen</name>
<affiliation wicri:level="1"><country xml:lang="fr">Allemagne</country>
<wicri:regionArea>Fachbereich 4, Mathematik, Universität Trier, D-54286, Trier</wicri:regionArea>
<wicri:noRegion>54286, Trier</wicri:noRegion>
<wicri:noRegion>Trier</wicri:noRegion>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Journal of Approximation Theory</title>
<title level="j" type="abbrev">YJATH</title>
<idno type="ISSN">0021-9045</idno>
<imprint><publisher>ELSEVIER</publisher>
<date type="published" when="1997">1997</date>
<biblScope unit="volume">89</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="118">118</biblScope>
<biblScope unit="page" to="132">132</biblScope>
</imprint>
<idno type="ISSN">0021-9045</idno>
</series>
<idno type="istex">04425F05EF2B35A77F002EEC6C3D78393495F8BF</idno>
<idno type="DOI">10.1006/jath.1996.3033</idno>
<idno type="PII">S0021-9045(96)93033-6</idno>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0021-9045</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">We consider the sequence of errors (En(f))nof best uniform approximation to a functionf∈C[−1, 1] by algebraic polynomials. It is shown that the regularity offin subsets of [−1, 1] implies certain conditions on the sequence (En(f))n.</div>
</front>
</TEI>
<affiliations><list><country><li>Allemagne</li>
</country>
</list>
<tree><country name="Allemagne"><noRegion><name sortKey="Gehlen, Wolfgang" sort="Gehlen, Wolfgang" uniqKey="Gehlen W" first="Wolfgang" last="Gehlen">Wolfgang Gehlen</name>
</noRegion>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Rhénanie/explor/UnivTrevesV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 002473 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 002473 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Rhénanie |area= UnivTrevesV1 |flux= Main |étape= Exploration |type= RBID |clé= ISTEX:04425F05EF2B35A77F002EEC6C3D78393495F8BF |texte= On the Sequence of Errors in Best Polynomial Approximation }}
This area was generated with Dilib version V0.6.31. |