{"id":"https://openalex.org/W2018716866","doi":"https://doi.org/10.1007/s11075-012-9615-5","title":"Radial orthogonality and Lebesgue constants on the disk","display_name":"Radial orthogonality and Lebesgue constants on the disk","publication_year":2012,"publication_date":"2012-07-03","ids":{"openalex":"https://openalex.org/W2018716866","doi":"https://doi.org/10.1007/s11075-012-9615-5","mag":"2018716866"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-012-9615-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9615-5","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026465196","display_name":"Annie Cuyt","orcid":"https://orcid.org/0000-0002-9903-8775"},"institutions":[{"id":"https://openalex.org/I149213910","display_name":"University of Antwerp","ror":"https://ror.org/008x57b05","country_code":"BE","type":"education","lineage":["https://openalex.org/I149213910"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Annie Cuyt","raw_affiliation_strings":["Department of Mathematics and Computer Science, Universiteit Antwerpen (CMI), Middelheimlaan\u00a01, 2020, Antwerpen, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Universiteit Antwerpen (CMI), Middelheimlaan\u00a01, 2020, Antwerpen, Belgium","institution_ids":["https://openalex.org/I149213910"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069312015","display_name":"\u0130rem Yaman","orcid":"https://orcid.org/0000-0002-8380-9846"},"institutions":[{"id":"https://openalex.org/I109297418","display_name":"Gebze Technical University","ror":"https://ror.org/01sdnnq10","country_code":"TR","type":"education","lineage":["https://openalex.org/I109297418"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Irem Yaman","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Gebze Institute of Technology, \u00c7ay\u0131rova Campus, 41400, Gebze, Kocaeli, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Gebze Institute of Technology, \u00c7ay\u0131rova Campus, 41400, Gebze, Kocaeli, Turkey","institution_ids":["https://openalex.org/I109297418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083691808","display_name":"B. Ali Ibrahimoglu","orcid":"https://orcid.org/0000-0002-3644-2201"},"institutions":[{"id":"https://openalex.org/I4101805","display_name":"Y\u0131ld\u0131z Technical University","ror":"https://ror.org/0547yzj13","country_code":"TR","type":"education","lineage":["https://openalex.org/I4101805"]},{"id":"https://openalex.org/I149213910","display_name":"University of Antwerp","ror":"https://ror.org/008x57b05","country_code":"BE","type":"education","lineage":["https://openalex.org/I149213910"]}],"countries":["BE","TR"],"is_corresponding":false,"raw_author_name":"Bayram Ali Ibrahimoglu","raw_affiliation_strings":["Department of Mathematical Engineering, Y\u0131ld\u0131z Technical University, Davutpasa Campus, 34210, Istanbul, Turkey","Department of Mathematics and Computer Science, Universiteit Antwerpen (CMI), Middelheimlaan\u00a01, 2020, Antwerpen, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Engineering, Y\u0131ld\u0131z Technical University, Davutpasa Campus, 34210, Istanbul, Turkey","institution_ids":["https://openalex.org/I4101805"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Universiteit Antwerpen (CMI), Middelheimlaan\u00a01, 2020, Antwerpen, Belgium","institution_ids":["https://openalex.org/I149213910"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041716667","display_name":"Brahim Benouahmane","orcid":null},"institutions":[{"id":"https://openalex.org/I4210164065","display_name":"Universit\u00e9 Hassan II Mohammedia","ror":"https://ror.org/058gnfy87","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210164065"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Brahim Benouahmane","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques, Facult\u00e9 des Sciences et Techniques, Universit\u00e9 Hassan II, BP 146 Yasmina, 20650, Mohammadia, Morocco"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Facult\u00e9 des Sciences et Techniques, Universit\u00e9 Hassan II, BP 146 Yasmina, 20650, Mohammadia, Morocco","institution_ids":["https://openalex.org/I4210164065"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5069312015"],"corresponding_institution_ids":["https://openalex.org/I109297418"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0536,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.76128502,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"61","issue":"2","first_page":"291","last_page":"313"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9980000257492065,"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/T10514","display_name":"Numerical methods in engineering","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8000097274780273},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7047490477561951},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.6772072315216064},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.5904549956321716},{"id":"https://openalex.org/keywords/birkhoff-interpolation","display_name":"Birkhoff interpolation","score":0.5199986100196838},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.48692476749420166},{"id":"https://openalex.org/keywords/trigonometric-interpolation","display_name":"Trigonometric interpolation","score":0.4765810966491699},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4606947600841522},{"id":"https://openalex.org/keywords/lebesgue-integration","display_name":"Lebesgue integration","score":0.4354555606842041},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41936951875686646},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3348395824432373},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.33286145329475403},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25899678468704224},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08360746502876282}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8000097274780273},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7047490477561951},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.6772072315216064},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.5904549956321716},{"id":"https://openalex.org/C205280321","wikidata":"https://www.wikidata.org/wiki/Q3800523","display_name":"Birkhoff interpolation","level":5,"score":0.5199986100196838},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.48692476749420166},{"id":"https://openalex.org/C28537468","wikidata":"https://www.wikidata.org/wiki/Q464356","display_name":"Trigonometric interpolation","level":5,"score":0.4765810966491699},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4606947600841522},{"id":"https://openalex.org/C14158598","wikidata":"https://www.wikidata.org/wiki/Q853831","display_name":"Lebesgue integration","level":2,"score":0.4354555606842041},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41936951875686646},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3348395824432373},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.33286145329475403},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25899678468704224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08360746502876282},{"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/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-012-9615-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9615-5","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W568759720","https://openalex.org/W1968788947","https://openalex.org/W1991042977","https://openalex.org/W2007857521","https://openalex.org/W2017508276","https://openalex.org/W2027943624","https://openalex.org/W2040787464","https://openalex.org/W2041786636","https://openalex.org/W2045552434","https://openalex.org/W2055917385","https://openalex.org/W2063456909","https://openalex.org/W2077697231","https://openalex.org/W2078456577","https://openalex.org/W2082089361","https://openalex.org/W2109990880","https://openalex.org/W2263220200","https://openalex.org/W2290384717","https://openalex.org/W2963320257","https://openalex.org/W3006435741","https://openalex.org/W4299541826","https://openalex.org/W4361808948","https://openalex.org/W6718866609"],"related_works":["https://openalex.org/W2354378723","https://openalex.org/W4386147800","https://openalex.org/W2326086556","https://openalex.org/W2589218941","https://openalex.org/W3163191984","https://openalex.org/W1999125177","https://openalex.org/W1541926141","https://openalex.org/W2093601278","https://openalex.org/W1535747850","https://openalex.org/W1994139365"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
