{"id":"https://openalex.org/W2807030538","doi":"https://doi.org/10.1007/s11075-018-0584-1","title":"Uniform approximation on the sphere by least squares polynomials","display_name":"Uniform approximation on the sphere by least squares polynomials","publication_year":2018,"publication_date":"2018-08-23","ids":{"openalex":"https://openalex.org/W2807030538","doi":"https://doi.org/10.1007/s11075-018-0584-1","mag":"2807030538"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-018-0584-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0584-1","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://lirias.kuleuven.be/handle/123456789/623887","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052349057","display_name":"Woula Themistoclakis","orcid":"https://orcid.org/0000-0002-6185-1154"},"institutions":[{"id":"https://openalex.org/I4210106125","display_name":"Istituto per le Applicazioni del Calcolo Mauro Picone","ror":"https://ror.org/00ygy3d85","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210106125","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I4210155236","display_name":"National Research Council","ror":"https://ror.org/04zaypm56","country_code":"IT","type":"funder","lineage":["https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Woula Themistoclakis","raw_affiliation_strings":["C.N.R. National Research Council of Italy, Istituto per le Applicazioni del Calcolo \u201cMauro Picone\u201d, via P. Castellino, 111, 80131, Naples, Italy","C.N.R. National Research Council of Italy, Istituto per le Applicazioni del Calcolo \u201cMauro Picone\u201d, Naples, Italy"],"affiliations":[{"raw_affiliation_string":"C.N.R. National Research Council of Italy, Istituto per le Applicazioni del Calcolo \u201cMauro Picone\u201d, via P. Castellino, 111, 80131, Naples, Italy","institution_ids":["https://openalex.org/I4210106125","https://openalex.org/I4210155236"]},{"raw_affiliation_string":"C.N.R. National Research Council of Italy, Istituto per le Applicazioni del Calcolo \u201cMauro Picone\u201d, Naples, Italy","institution_ids":["https://openalex.org/I4210106125","https://openalex.org/I4210155236"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052654029","display_name":"Marc Van Barel","orcid":"https://orcid.org/0000-0002-7372-382X"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Marc Van Barel","raw_affiliation_strings":["Department of Computer Science, KU Leuven, Celestijnenlaan 200A, B-3001, Leuven (Heverlee), Belgium","Department of Computer Science, KU Leuven, Leuven (Heverlee), Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, KU Leuven, Celestijnenlaan 200A, B-3001, Leuven (Heverlee), Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Department of Computer Science, KU Leuven, Leuven (Heverlee), Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052349057"],"corresponding_institution_ids":["https://openalex.org/I4210106125","https://openalex.org/I4210155236"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09725454,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"81","issue":"3","first_page":"1089","last_page":"1111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9990000128746033,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9990000128746033,"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":0.9987000226974487,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9973000288009644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7836034893989563},{"id":"https://openalex.org/keywords/unit-sphere","display_name":"Unit sphere","score":0.7476943731307983},{"id":"https://openalex.org/keywords/minimax-approximation-algorithm","display_name":"Minimax approximation algorithm","score":0.6567244529724121},{"id":"https://openalex.org/keywords/uniform-norm","display_name":"Uniform norm","score":0.612147331237793},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6009522080421448},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5271075963973999},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5059792399406433},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.4641495943069458},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.44747066497802734},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36503922939300537},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.349321573972702},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12577030062675476}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7836034893989563},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.7476943731307983},{"id":"https://openalex.org/C117148685","wikidata":"https://www.wikidata.org/wiki/Q6865376","display_name":"Minimax approximation algorithm","level":2,"score":0.6567244529724121},{"id":"https://openalex.org/C146324458","wikidata":"https://www.wikidata.org/wiki/Q1202673","display_name":"Uniform norm","level":2,"score":0.612147331237793},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6009522080421448},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5271075963973999},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5059792399406433},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.4641495943069458},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.44747066497802734},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36503922939300537},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.349321573972702},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12577030062675476},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s11075-018-0584-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0584-1","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"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/623887","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/623887","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/625912","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/625912","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Numerical Algorithms, vol. 81 (3), (1089-1111)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:1806.00439","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1806.00439","pdf_url":"https://arxiv.org/pdf/1806.00439","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2807030538","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1806.00439.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1806.00439","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1806.00439","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/623887","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/623887","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W177591266","https://openalex.org/W567568486","https://openalex.org/W1499896294","https://openalex.org/W1981867435","https://openalex.org/W1982490659","https://openalex.org/W1983995930","https://openalex.org/W1995973437","https://openalex.org/W2013007862","https://openalex.org/W2040013301","https://openalex.org/W2051010753","https://openalex.org/W2069910630","https://openalex.org/W2084196626","https://openalex.org/W2084585633","https://openalex.org/W2087255259","https://openalex.org/W2088545848","https://openalex.org/W2157823613","https://openalex.org/W2201849198","https://openalex.org/W2342096538","https://openalex.org/W3038165843"],"related_works":["https://openalex.org/W2963726828","https://openalex.org/W2885420866","https://openalex.org/W2950519713","https://openalex.org/W2081574909","https://openalex.org/W2012228256","https://openalex.org/W2090282681","https://openalex.org/W2958812347","https://openalex.org/W2088545848","https://openalex.org/W2731722791","https://openalex.org/W1575001770","https://openalex.org/W2014992345","https://openalex.org/W3156747660","https://openalex.org/W2031631034","https://openalex.org/W1990871954","https://openalex.org/W1566774059","https://openalex.org/W2078867273","https://openalex.org/W342252574","https://openalex.org/W2052167619","https://openalex.org/W2171245998","https://openalex.org/W2124749712"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}