{"id":"https://openalex.org/W2020107568","doi":"https://doi.org/10.1007/bf02145384","title":"Some numerical results on best uniform rational approximation ofx \u03b1 on [0,1]","display_name":"Some numerical results on best uniform rational approximation ofx \u03b1 on [0,1]","publication_year":1992,"publication_date":"1992-06-01","ids":{"openalex":"https://openalex.org/W2020107568","doi":"https://doi.org/10.1007/bf02145384","mag":"2020107568"},"language":"en","primary_location":{"id":"doi:10.1007/bf02145384","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02145384","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/A5112204449","display_name":"Richard S. Varga","orcid":null},"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":"Richard S. Varga","raw_affiliation_strings":["Institute for Computational Mathematics, Kent State University, 44242, Kent, OH, USA","Institute for Computational Mathematics, Kent State University, Kent, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Computational Mathematics, Kent State University, 44242, Kent, OH, USA","institution_ids":["https://openalex.org/I149910238"]},{"raw_affiliation_string":"Institute for Computational Mathematics, Kent State University, Kent, USA","institution_ids":["https://openalex.org/I149910238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044906985","display_name":"Amos J. Carpenter","orcid":null},"institutions":[{"id":"https://openalex.org/I110678235","display_name":"Butler University","ror":"https://ror.org/05gq3a412","country_code":"US","type":"education","lineage":["https://openalex.org/I110678235"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amos J. Carpenter","raw_affiliation_strings":["Dept. of Math. and Computer Science, Butler University, 46208, Indianapolis, IN, USA","Dept. of Math. and Computer Science, Butler University, Indianapolis, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Math. and Computer Science, Butler University, 46208, Indianapolis, IN, USA","institution_ids":["https://openalex.org/I110678235"]},{"raw_affiliation_string":"Dept. of Math. and Computer Science, Butler University, Indianapolis, USA","institution_ids":["https://openalex.org/I110678235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4804,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.62677994,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"2","issue":"2","first_page":"171","last_page":"185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994000196456909,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.995199978351593,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9919999837875366,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8554812669754028},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.6291182041168213},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6252524256706238},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5915055274963379},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.582365095615387},{"id":"https://openalex.org/keywords/rational-number","display_name":"Rational number","score":0.42264822125434875},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34230634570121765},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.299443781375885},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10817709565162659},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08689117431640625}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8554812669754028},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.6291182041168213},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6252524256706238},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5915055274963379},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.582365095615387},{"id":"https://openalex.org/C46875033","wikidata":"https://www.wikidata.org/wiki/Q1244890","display_name":"Rational number","level":2,"score":0.42264822125434875},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34230634570121765},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.299443781375885},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10817709565162659},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08689117431640625}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02145384","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02145384","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W85174465","https://openalex.org/W1527791478","https://openalex.org/W1608410804","https://openalex.org/W1967779414","https://openalex.org/W1974166909","https://openalex.org/W1981674498","https://openalex.org/W1987984059","https://openalex.org/W2007407491","https://openalex.org/W2009849678","https://openalex.org/W2011711949","https://openalex.org/W2012228256","https://openalex.org/W2026469602","https://openalex.org/W2029776525","https://openalex.org/W2057832664","https://openalex.org/W2059500894","https://openalex.org/W2088521583","https://openalex.org/W2093616025","https://openalex.org/W2094166191","https://openalex.org/W2161477758","https://openalex.org/W2321313675"],"related_works":["https://openalex.org/W2105594625","https://openalex.org/W1978042415","https://openalex.org/W2058581251","https://openalex.org/W2220129715","https://openalex.org/W305319458","https://openalex.org/W2806984643","https://openalex.org/W2159964792","https://openalex.org/W2602807540","https://openalex.org/W1538649440","https://openalex.org/W2015274193"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}