{"id":"https://openalex.org/W1979693299","doi":"https://doi.org/10.1090/s0025-5718-08-02196-0","title":"Function classes for successful DE-Sinc approximations","display_name":"Function classes for successful DE-Sinc approximations","publication_year":2009,"publication_date":"2009-04-27","ids":{"openalex":"https://openalex.org/W1979693299","doi":"https://doi.org/10.1090/s0025-5718-08-02196-0","mag":"1979693299"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-08-02196-0","pdf_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-08-02196-0/S0025-5718-08-02196-0.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_indexed_in_scopus":true,"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},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-08-02196-0/S0025-5718-08-02196-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028278086","display_name":"Ken\u2019ichiro Tanaka","orcid":"https://orcid.org/0000-0003-0359-0969"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ken\u2019ichiro Tanaka","raw_affiliation_strings":["Department of Mathematical Informatics Graduate School of Information Science and Technology, University of Tokyo 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656 Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics Graduate School of Information Science and Technology, University of Tokyo 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656 Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108229624","display_name":"Masaaki Sugihara","orcid":null},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masaaki Sugihara","raw_affiliation_strings":["Department of Mathematical Informatics Graduate School of Information Science and Technology, University of Tokyo 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656 Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics Graduate School of Information Science and Technology, University of Tokyo 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656 Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032957138","display_name":"Kazuo Murota","orcid":"https://orcid.org/0000-0003-1518-9152"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kazuo Murota","raw_affiliation_strings":["Department of Mathematical Informatics Graduate School of Information Science and Technology, University of Tokyo 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656 Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics Graduate School of Information Science and Technology, University of Tokyo 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656 Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.802,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":53,"citation_normalized_percentile":{"value":0.948326,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":95},"biblio":{"volume":"78","issue":"267","first_page":"1553","last_page":"1571"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9455,"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":0.9455,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.941,"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/T13126","display_name":"Scientific Research and Discoveries","score":0.9335,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sinc-function","display_name":"Sinc function","score":0.99889815}],"concepts":[{"id":"https://openalex.org/C152303783","wikidata":"https://www.wikidata.org/wiki/Q855949","display_name":"Sinc function","level":2,"score":0.99889815},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.65416515},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6166998},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5937098},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.55801255},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5557032},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3656617},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3219099},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.08787033},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-08-02196-0","pdf_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-08-02196-0/S0025-5718-08-02196-0.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_indexed_in_scopus":true,"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}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-08-02196-0","pdf_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-08-02196-0/S0025-5718-08-02196-0.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_indexed_in_scopus":true,"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},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":14,"referenced_works":["https://openalex.org/W1964523016","https://openalex.org/W1979693299","https://openalex.org/W1986700039","https://openalex.org/W1995356931","https://openalex.org/W2015465640","https://openalex.org/W2019332422","https://openalex.org/W2034369159","https://openalex.org/W2037658465","https://openalex.org/W2085291969","https://openalex.org/W2086672966","https://openalex.org/W2087375763","https://openalex.org/W2089015999","https://openalex.org/W4247313239","https://openalex.org/W4293185733"],"related_works":["https://openalex.org/W582738879","https://openalex.org/W4389473778","https://openalex.org/W4283367777","https://openalex.org/W3212775635","https://openalex.org/W2385915439","https://openalex.org/W2376137830","https://openalex.org/W2314809861","https://openalex.org/W2184738069","https://openalex.org/W2012136333","https://openalex.org/W1979693299"],"abstract_inverted_index":{"The":[0],"DE-Sinc":[1,76,86,109],"formulas,":[2,36,110,117],"resulting":[3],"from":[4],"a":[5,19,89],"combination":[6],"of":[7],"the":[8,13,34,39,45,54,62,72,75,85,93,98,108,115,125,128,132],"Sinc":[9,40],"approximation":[10,41],"formula":[11],"with":[12,44,74,92],"double":[14],"exponential":[15,47],"(DE)":[16],"transformation,":[17],"provide":[18],"highly":[20],"efficient":[21,32],"method":[22],"for":[23,97,107,114],"function":[24,81,105],"approximation.":[25],"In":[26],"many":[27],"cases":[28],"they":[29],"are":[30,38,119,134],"more":[31,120],"than":[33],"SE-Sinc":[35,55,99,116],"which":[37,118],"formulas":[42,56,87],"combined":[43],"single":[46],"(SE)":[48],"transformations.":[49],"Function":[50],"classes":[51,82,106],"suited":[52,83],"to":[53,84,136],"have":[57],"already":[58],"been":[59],"investigated":[60],"in":[61,88,122,124],"literature":[63],"through":[64],"rigorous":[65],"mathematical":[66],"analysis,":[67],"whereas":[68],"this":[69],"is":[70],"not":[71],"case":[73],"formulas.":[77,100],"This":[78],"paper":[79],"identifies":[80],"way":[90],"compatible":[91],"existing":[94],"theoretical":[95],"results":[96],"Furthermore,":[101],"we":[102],"identify":[103],"alternative":[104],"as":[111,113],"well":[112],"useful":[121],"applications":[123],"sense":[126],"that":[127],"conditions":[129],"imposed":[130],"on":[131],"functions":[133],"easier":[135],"verify.":[137]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1979693299","counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":1}],"updated_date":"2025-01-19T21:03:31.439781","created_date":"2016-06-24"}