{"id":"https://openalex.org/W2150288817","doi":"https://doi.org/10.1090/s0025-5718-08-02195-9","title":"Stieltjes-type polynomials on the unit circle","display_name":"Stieltjes-type polynomials on the unit circle","publication_year":2008,"publication_date":"2008-10-27","ids":{"openalex":"https://openalex.org/W2150288817","doi":"https://doi.org/10.1090/s0025-5718-08-02195-9","mag":"2150288817"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-08-02195-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-08-02195-9","pdf_url":"https://www.ams.org/mcom/2009-78-266/S0025-5718-08-02195-9/S0025-5718-08-02195-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.ams.org/mcom/2009-78-266/S0025-5718-08-02195-9/S0025-5718-08-02195-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019567446","display_name":"B. de la Calle Ysern","orcid":"https://orcid.org/0000-0003-2842-2611"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"B. de la Calle Ysern","raw_affiliation_strings":["Departamento de Matem\u00c3\u00a1tica Aplicada, E. T. S. de Ingenieros Industriales, Universidad Polit\u00c3\u00a9cnica de Madrid, Jos\u00c3\u00a9 G. Abascal 2, 28006 Madrid, Spain","Departamento de Matem\u00e1tica Aplicada, E. T. S. de Ingenieros Industriales, Universidad Polit\u00e9cnica de Madrid, Jos\u00e9 G. Abascal 2, 28006 Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00c3\u00a1tica Aplicada, E. T. S. de Ingenieros Industriales, Universidad Polit\u00c3\u00a9cnica de Madrid, Jos\u00c3\u00a9 G. Abascal 2, 28006 Madrid, Spain","institution_ids":[]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, E. T. S. de Ingenieros Industriales, Universidad Polit\u00e9cnica de Madrid, Jos\u00e9 G. Abascal 2, 28006 Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067401236","display_name":"G. L\u00f3pez Lagomasino","orcid":"https://orcid.org/0000-0002-9137-9188"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"G. L\u00f3pez Lagomasino","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Escuela Polit\u00e9cnica Superior, Universidad Carlos III de Madrid, Universidad 30, 28911 Legan\u00e9s, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Escuela Polit\u00e9cnica Superior, Universidad Carlos III de Madrid, Universidad 30, 28911 Legan\u00e9s, Spain","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072817181","display_name":"Lothar Reichel","orcid":"https://orcid.org/0000-0003-1729-6816"},"institutions":[{"id":"https://openalex.org/I149910238","display_name":"Kent State University","ror":"https://ror.org/049pfb863","country_code":"US","type":"education","lineage":["https://openalex.org/I149910238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Reichel","raw_affiliation_strings":["Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242","institution_ids":["https://openalex.org/I149910238"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019567446"],"corresponding_institution_ids":["https://openalex.org/I88060688"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.18316725,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"78","issue":"266","first_page":"969","last_page":"997"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9796000123023987,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9746000170707703,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9188764095306396},{"id":"https://openalex.org/keywords/unit-circle","display_name":"Unit circle","score":0.7517821788787842},{"id":"https://openalex.org/keywords/riemann\u2013stieltjes-integral","display_name":"Riemann\u2013Stieltjes integral","score":0.6726152300834656},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.6298564076423645},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6181899309158325},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6062453389167786},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4541262686252594},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.45251089334487915},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.44899457693099976},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4284043312072754},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3962757885456085},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3729507327079773},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3510192632675171},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33039504289627075},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.08150482177734375}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9188764095306396},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.7517821788787842},{"id":"https://openalex.org/C167211080","wikidata":"https://www.wikidata.org/wiki/Q285771","display_name":"Riemann\u2013Stieltjes integral","level":3,"score":0.6726152300834656},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.6298564076423645},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6181899309158325},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6062453389167786},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4541262686252594},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.45251089334487915},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.44899457693099976},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4284043312072754},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3962757885456085},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3729507327079773},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3510192632675171},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33039504289627075},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.08150482177734375},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1090/s0025-5718-08-02195-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-08-02195-9","pdf_url":"https://www.ams.org/mcom/2009-78-266/S0025-5718-08-02195-9/S0025-5718-08-02195-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.140.7611","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.140.7611","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/0000-000-00/S0025-5718-08-02195-9/S0025-5718-08-02195-9.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.418.3078","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.418.3078","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.kent.edu/~reichel/publications/szekron.pdf","raw_type":"text"},{"id":"pmh:oai:e-archivo.uc3m.es:10016/6274","is_oa":true,"landing_page_url":"http://hdl.handle.net/10016/6274","pdf_url":null,"source":{"id":"https://openalex.org/S4306400817","display_name":"e-Archivo (Carlos III University of Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I50357001","host_organization_name":"Universidad Carlos III de Madrid","host_organization_lineage":["https://openalex.org/I50357001"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-08-02195-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-08-02195-9","pdf_url":"https://www.ams.org/mcom/2009-78-266/S0025-5718-08-02195-9/S0025-5718-08-02195-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323770","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2150288817.pdf","grobid_xml":"https://content.openalex.org/works/W2150288817.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W181961873","https://openalex.org/W615076036","https://openalex.org/W650542949","https://openalex.org/W1488341329","https://openalex.org/W1501601053","https://openalex.org/W1563225254","https://openalex.org/W1650035168","https://openalex.org/W1964501944","https://openalex.org/W1969644842","https://openalex.org/W1983225388","https://openalex.org/W1984209560","https://openalex.org/W1993003010","https://openalex.org/W2008597311","https://openalex.org/W2014099887","https://openalex.org/W2019254344","https://openalex.org/W2022937469","https://openalex.org/W2023978509","https://openalex.org/W2044292612","https://openalex.org/W2053373366","https://openalex.org/W2074694609","https://openalex.org/W2138655344","https://openalex.org/W2151219630","https://openalex.org/W2155263269","https://openalex.org/W2335117333","https://openalex.org/W3031091344","https://openalex.org/W3037482517","https://openalex.org/W4234435085","https://openalex.org/W4294576855"],"related_works":["https://openalex.org/W2992598178","https://openalex.org/W3097999171","https://openalex.org/W1658579307","https://openalex.org/W2010008757","https://openalex.org/W2136704568","https://openalex.org/W4300013333","https://openalex.org/W1988769103","https://openalex.org/W2963537253","https://openalex.org/W2087255164","https://openalex.org/W2058556423"],"abstract_inverted_index":{"Stieltjes-type":[0],"polynomials":[1],"corresponding":[2,80],"to":[3,78,88],"measures":[4],"supported":[5],"on":[6],"the":[7,68,79,93,103,108],"unit":[8],"circle":[9],"<inline-formula":[10,37,116],"content-type=\"math/mathml\">":[11,38,117],"<mml:math":[12,39,118],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[13,40,119],"alttext=\"double-struck":[14,41,120],"upper":[15,42,121],"T\">":[16,43,122],"<mml:semantics>":[17,44,123],"<mml:mrow":[18,45,124],"class=\"MJX-TeXAtom-ORD\">":[19,46,125],"<mml:mi":[20,47,126],"mathvariant=\"double-struck\">T</mml:mi>":[21,48,127],"</mml:mrow>":[22,49,128],"<mml:annotation":[23,50,129],"encoding=\"application/x-tex\">\\mathbb":[24,51,130],"{T}</mml:annotation>":[25,52,131],"</mml:semantics>":[26,53,132],"</mml:math>":[27,54,133],"</inline-formula>":[28,55,134],"are":[29,56],"introduced":[30],"and":[31],"their":[32],"asymptotic":[33],"properties":[34],"away":[35],"from":[36],"studied":[57],"for":[58],"general":[59],"classes":[60],"of":[61,70,74,92,95,97,115],"measures.":[62],"As":[63],"an":[64,71,90],"application,":[65],"we":[66],"prove":[67],"convergence":[69,96],"associated":[72],"sequence":[73],"interpolating":[75],"rational":[76],"functions":[77],"Carath\u00e9odory":[81],"function.":[82],"In":[83],"turn,":[84],"this":[85],"is":[86,110],"used":[87],"give":[89],"estimate":[91],"rate":[94],"certain":[98],"quadrature":[99],"formulae":[100],"that":[101,107],"resemble":[102],"Gauss-Kronrod":[104],"rule,":[105],"provided":[106],"integrand":[109],"analytic":[111],"in":[112],"a":[113],"neighborhood":[114],".":[135]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-22T06:01:30.510260","created_date":"2025-10-10T00:00:00"}
