{"id":"https://openalex.org/W2038167022","doi":"https://doi.org/10.1016/s0021-9045(02)00013-8","title":"On the divergence of polynomial interpolation","display_name":"On the divergence of polynomial interpolation","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2038167022","doi":"https://doi.org/10.1016/s0021-9045(02)00013-8","mag":"2038167022"},"language":"en","primary_location":{"id":"doi:10.1016/s0021-9045(02)00013-8","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0021-9045(02)00013-8","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0021904502000138/pdf","source":{"id":"https://openalex.org/S35093870","display_name":"Journal of Approximation Theory","issn_l":"0021-9045","issn":["0021-9045","1096-0430"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Approximation Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0021904502000138/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010537538","display_name":"\u00c0ngel Jorba","orcid":"https://orcid.org/0000-0003-2210-6589"},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"\u00c0ngel Jorba","raw_affiliation_strings":["Departament de Matem\u00e1tica Aplicada i An\u00e0lisi, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain","Departament de Matem\u00e1tica Aplicada i An\u00e0lisi, Universitat de Barcelona, Gran Via, 08007 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e1tica Aplicada i An\u00e0lisi, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain","institution_ids":["https://openalex.org/I71999127"]},{"raw_affiliation_string":"Departament de Matem\u00e1tica Aplicada i An\u00e0lisi, Universitat de Barcelona, Gran Via, 08007 Barcelona, Spain","institution_ids":["https://openalex.org/I71999127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047690658","display_name":"Joan Carles Tatjer","orcid":"https://orcid.org/0000-0001-8309-3940"},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Joan Carles Tatjer","raw_affiliation_strings":["Departament de Matem\u00e1tica Aplicada i An\u00e0lisi, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain","Departament de Matem\u00e1tica Aplicada i An\u00e0lisi, Universitat de Barcelona, Gran Via, 08007 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e1tica Aplicada i An\u00e0lisi, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain","institution_ids":["https://openalex.org/I71999127"]},{"raw_affiliation_string":"Departament de Matem\u00e1tica Aplicada i An\u00e0lisi, Universitat de Barcelona, Gran Via, 08007 Barcelona, Spain","institution_ids":["https://openalex.org/I71999127"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010537538"],"corresponding_institution_ids":["https://openalex.org/I71999127"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":0.4133,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62992126,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"120","issue":"1","first_page":"85","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9914000034332275,"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/T12812","display_name":"Meromorphic and Entire Functions","score":0.9886000156402588,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.913314700126648},{"id":"https://openalex.org/keywords/lebesgue-measure","display_name":"Lebesgue measure","score":0.7233086824417114},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5591675639152527},{"id":"https://openalex.org/keywords/lebesgue-integration","display_name":"Lebesgue integration","score":0.5587888360023499},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.490401029586792},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.47859522700309753},{"id":"https://openalex.org/keywords/julia-set","display_name":"Julia set","score":0.4767259657382965},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4751988649368286},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.4655735194683075},{"id":"https://openalex.org/keywords/hausdorff-dimension","display_name":"Hausdorff dimension","score":0.4526894986629486},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4498617947101593},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4383399784564972},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.4380819797515869},{"id":"https://openalex.org/keywords/unit-circle","display_name":"Unit circle","score":0.42963477969169617},{"id":"https://openalex.org/keywords/absolute-continuity","display_name":"Absolute continuity","score":0.41703659296035767},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38742324709892273},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36445698142051697}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.913314700126648},{"id":"https://openalex.org/C2777105136","wikidata":"https://www.wikidata.org/wiki/Q827230","display_name":"Lebesgue measure","level":3,"score":0.7233086824417114},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5591675639152527},{"id":"https://openalex.org/C14158598","wikidata":"https://www.wikidata.org/wiki/Q853831","display_name":"Lebesgue integration","level":2,"score":0.5587888360023499},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.490401029586792},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.47859522700309753},{"id":"https://openalex.org/C187619975","wikidata":"https://www.wikidata.org/wiki/Q848427","display_name":"Julia set","level":2,"score":0.4767259657382965},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4751988649368286},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4655735194683075},{"id":"https://openalex.org/C194198291","wikidata":"https://www.wikidata.org/wiki/Q565186","display_name":"Hausdorff dimension","level":2,"score":0.4526894986629486},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4498617947101593},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4383399784564972},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.4380819797515869},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.42963477969169617},{"id":"https://openalex.org/C118733216","wikidata":"https://www.wikidata.org/wiki/Q332504","display_name":"Absolute continuity","level":2,"score":0.41703659296035767},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38742324709892273},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36445698142051697},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0021-9045(02)00013-8","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0021-9045(02)00013-8","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0021904502000138/pdf","source":{"id":"https://openalex.org/S35093870","display_name":"Journal of Approximation Theory","issn_l":"0021-9045","issn":["0021-9045","1096-0430"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Approximation Theory","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.22.6383","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.22.6383","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.maia.ub.es/dsg/2001/0101jorba.ps.gz","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1016/s0021-9045(02)00013-8","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0021-9045(02)00013-8","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0021904502000138/pdf","source":{"id":"https://openalex.org/S35093870","display_name":"Journal of Approximation Theory","issn_l":"0021-9045","issn":["0021-9045","1096-0430"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Approximation Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1668464926","display_name":null,"funder_award_id":"2001SGR-70","funder_id":"https://openalex.org/F4320335319","funder_display_name":"Comissi\u00f3 Interdepartamental de Recerca i Innovaci\u00f3 Tecnol\u00f2gica"},{"id":"https://openalex.org/G3363726375","display_name":null,"funder_award_id":"BFM2000-0805","funder_id":"https://openalex.org/F4320324278","funder_display_name":"Comisi\u00f3n Interministerial de Ciencia y Tecnolog\u00eda"},{"id":"https://openalex.org/G3389327765","display_name":null,"funder_award_id":"BFM2000-0623","funder_id":"https://openalex.org/F4320324278","funder_display_name":"Comisi\u00f3n Interministerial de Ciencia y Tecnolog\u00eda"}],"funders":[{"id":"https://openalex.org/F4320324278","display_name":"Comisi\u00f3n Interministerial de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320335162","display_name":"Departament d'Universitats, Recerca i Societat de la Informaci\u00f3","ror":null},{"id":"https://openalex.org/F4320335319","display_name":"Comissi\u00f3 Interdepartamental de Recerca i Innovaci\u00f3 Tecnol\u00f2gica","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2038167022.pdf","grobid_xml":"https://content.openalex.org/works/W2038167022.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W256743373","https://openalex.org/W1496738390","https://openalex.org/W1501601053","https://openalex.org/W1590577697","https://openalex.org/W1995663189","https://openalex.org/W2018529115","https://openalex.org/W2080711475","https://openalex.org/W2316418224","https://openalex.org/W2917024098","https://openalex.org/W2979121153","https://openalex.org/W3144829920","https://openalex.org/W6630114215"],"related_works":["https://openalex.org/W4307470594","https://openalex.org/W2120215805","https://openalex.org/W2023523124","https://openalex.org/W2082670684","https://openalex.org/W3043537395","https://openalex.org/W2951808076","https://openalex.org/W2363394234","https://openalex.org/W4225469643","https://openalex.org/W3043293079","https://openalex.org/W3101257270"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-03T07:22:36.454288","created_date":"2025-10-10T00:00:00"}