Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results

Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results

This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formulas for analytic functions on confocal ellipses. Key words. error estimate, remainder term, analytic function, contour integral representation

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Electronic transactions on numerical analysis 2020-01, Vol.53, p.352-382
Hauptverfasser: Djukic, D.Lj, Djukic, R.M. Mutavdzic, Pejcev, A.V, Spalevic, M.M
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 382
container_issue
container_start_page 352
container_title Electronic transactions on numerical analysis
container_volume 53
creator Djukic, D.Lj
Djukic, R.M. Mutavdzic
Pejcev, A.V
Spalevic, M.M
description This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formulas for analytic functions on confocal ellipses. Key words. error estimate, remainder term, analytic function, contour integral representation
doi_str_mv 10.1553/etna_vol53s352
format Article
fullrecord <record><control><sourceid>gale_cross</sourceid><recordid>TN_cdi_gale_infotracmisc_A652591521</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A652591521</galeid><sourcerecordid>A652591521</sourcerecordid><originalsourceid>FETCH-LOGICAL-c346t-84eab0e7d97b09219b05cdaf72d52ead459ec844039a58e20754a28cd7e9189a3</originalsourceid><addsrcrecordid>eNptUU1Lw0AUDKJgrV49L3hO3Y9skj2WUqtQ8KLn8Lp5kZV0t-7bFPLvTdWLUN5hhsfMHGay7F7whdBaPWLy0BxDrxUpLS-ymeCmygteVpcnXta5KYW6zm6IPjkXppB6lsV1jCEypOT2kJBY6NgGBiIHPk_jAdnXAG2ENERkXYj7oYcfwsBDPyZnWTd4m1zwk9cz7Ht3IKQcGA3xiOMpMKJFnyagoU90m1110BPe_eE8e39av62e8-3r5mW13OZWFWXK6wJhx7FqTbXjRgqz49q20FWy1RKhLbRBWxcFVwZ0jZJXugBZ27ZCI2oDap49_OZ-QI-N811IEezekW2WpZbaCC3FpFqcUU3X4t7Z4LFz0_-cwcZAFLFrDnHqLo6N4M1piOb_EOobnmB_yQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results</title><source>EZB-FREE-00999 freely available EZB journals</source><source>Alma/SFX Local Collection</source><creator>Djukic, D.Lj ; Djukic, R.M. Mutavdzic ; Pejcev, A.V ; Spalevic, M.M</creator><creatorcontrib>Djukic, D.Lj ; Djukic, R.M. Mutavdzic ; Pejcev, A.V ; Spalevic, M.M</creatorcontrib><description>This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formulas for analytic functions on confocal ellipses. Key words. error estimate, remainder term, analytic function, contour integral representation</description><identifier>ISSN: 1068-9613</identifier><identifier>EISSN: 1097-4067</identifier><identifier>DOI: 10.1553/etna_vol53s352</identifier><language>eng</language><publisher>Institute of Computational Mathematics</publisher><ispartof>Electronic transactions on numerical analysis, 2020-01, Vol.53, p.352-382</ispartof><rights>COPYRIGHT 2020 Institute of Computational Mathematics</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c346t-84eab0e7d97b09219b05cdaf72d52ead459ec844039a58e20754a28cd7e9189a3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Djukic, D.Lj</creatorcontrib><creatorcontrib>Djukic, R.M. Mutavdzic</creatorcontrib><creatorcontrib>Pejcev, A.V</creatorcontrib><creatorcontrib>Spalevic, M.M</creatorcontrib><title>Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results</title><title>Electronic transactions on numerical analysis</title><description>This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formulas for analytic functions on confocal ellipses. Key words. error estimate, remainder term, analytic function, contour integral representation</description><issn>1068-9613</issn><issn>1097-4067</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNptUU1Lw0AUDKJgrV49L3hO3Y9skj2WUqtQ8KLn8Lp5kZV0t-7bFPLvTdWLUN5hhsfMHGay7F7whdBaPWLy0BxDrxUpLS-ymeCmygteVpcnXta5KYW6zm6IPjkXppB6lsV1jCEypOT2kJBY6NgGBiIHPk_jAdnXAG2ENERkXYj7oYcfwsBDPyZnWTd4m1zwk9cz7Ht3IKQcGA3xiOMpMKJFnyagoU90m1110BPe_eE8e39av62e8-3r5mW13OZWFWXK6wJhx7FqTbXjRgqz49q20FWy1RKhLbRBWxcFVwZ0jZJXugBZ27ZCI2oDap49_OZ-QI-N811IEezekW2WpZbaCC3FpFqcUU3X4t7Z4LFz0_-cwcZAFLFrDnHqLo6N4M1piOb_EOobnmB_yQ</recordid><startdate>20200101</startdate><enddate>20200101</enddate><creator>Djukic, D.Lj</creator><creator>Djukic, R.M. Mutavdzic</creator><creator>Pejcev, A.V</creator><creator>Spalevic, M.M</creator><general>Institute of Computational Mathematics</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20200101</creationdate><title>Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results</title><author>Djukic, D.Lj ; Djukic, R.M. Mutavdzic ; Pejcev, A.V ; Spalevic, M.M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c346t-84eab0e7d97b09219b05cdaf72d52ead459ec844039a58e20754a28cd7e9189a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Djukic, D.Lj</creatorcontrib><creatorcontrib>Djukic, R.M. Mutavdzic</creatorcontrib><creatorcontrib>Pejcev, A.V</creatorcontrib><creatorcontrib>Spalevic, M.M</creatorcontrib><collection>CrossRef</collection><jtitle>Electronic transactions on numerical analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Djukic, D.Lj</au><au>Djukic, R.M. Mutavdzic</au><au>Pejcev, A.V</au><au>Spalevic, M.M</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results</atitle><jtitle>Electronic transactions on numerical analysis</jtitle><date>2020-01-01</date><risdate>2020</risdate><volume>53</volume><spage>352</spage><epage>382</epage><pages>352-382</pages><issn>1068-9613</issn><eissn>1097-4067</eissn><abstract>This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formulas for analytic functions on confocal ellipses. Key words. error estimate, remainder term, analytic function, contour integral representation</abstract><pub>Institute of Computational Mathematics</pub><doi>10.1553/etna_vol53s352</doi><tpages>31</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1068-9613
ispartof Electronic transactions on numerical analysis, 2020-01, Vol.53, p.352-382
issn 1068-9613
1097-4067
language eng
recordid cdi_gale_infotracmisc_A652591521
source EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection
title Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T19%3A09%3A48IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Error%20estimates%20of%20Gaussian-type%20quadrature%20formulae%20for%20analytic%20functions%20on%20ellipses-a%20survey%20of%20recent%20results&rft.jtitle=Electronic%20transactions%20on%20numerical%20analysis&rft.au=Djukic,%20D.Lj&rft.date=2020-01-01&rft.volume=53&rft.spage=352&rft.epage=382&rft.pages=352-382&rft.issn=1068-9613&rft.eissn=1097-4067&rft_id=info:doi/10.1553/etna_vol53s352&rft_dat=%3Cgale_cross%3EA652591521%3C/gale_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_galeid=A652591521&rfr_iscdi=true