{"id":"https://openalex.org/W2069223609","doi":"https://doi.org/10.1007/s10915-013-9797-6","title":"Nonperiodic Trigonometric Polynomial Approximation","display_name":"Nonperiodic Trigonometric Polynomial Approximation","publication_year":2013,"publication_date":"2013-10-30","ids":{"openalex":"https://openalex.org/W2069223609","doi":"https://doi.org/10.1007/s10915-013-9797-6","mag":"2069223609"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-013-9797-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9797-6","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"book-chapter","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/A5018017081","display_name":"Hillel Tal\u2010Ezer","orcid":null},"institutions":[{"id":"https://openalex.org/I4210141777","display_name":"Academic College of Tel Aviv-Yafo","ror":"https://ror.org/04cg6c004","country_code":"IL","type":"education","lineage":["https://openalex.org/I4210141777"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Hillel Tal-Ezer","raw_affiliation_strings":["Academic College of Tel-Aviv Yaffo, Tel-Aviv Yaffo, Israel","Academic College of Tel-Aviv Yaffo, Tel-Aviv Yaffo, Israel#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academic College of Tel-Aviv Yaffo, Tel-Aviv Yaffo, Israel","institution_ids":["https://openalex.org/I4210141777"]},{"raw_affiliation_string":"Academic College of Tel-Aviv Yaffo, Tel-Aviv Yaffo, Israel#TAB#","institution_ids":["https://openalex.org/I4210141777"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018017081"],"corresponding_institution_ids":["https://openalex.org/I4210141777"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":2.7935,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.90457644,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"60","issue":"2","first_page":"345","last_page":"362"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9958999752998352,"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":0.9955999851226807,"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":0.878105878829956},{"id":"https://openalex.org/keywords/trigonometric-polynomial","display_name":"Trigonometric polynomial","score":0.7525213956832886},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.6462190747261047},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.6189388036727905},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.5838404893875122},{"id":"https://openalex.org/keywords/gauss\u2013jacobi-quadrature","display_name":"Gauss\u2013Jacobi quadrature","score":0.5363774299621582},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.5299322009086609},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5168522000312805},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.49120041728019714},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.48472902178764343},{"id":"https://openalex.org/keywords/polynomial-basis","display_name":"Polynomial basis","score":0.48256149888038635},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47658297419548035},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4578477442264557},{"id":"https://openalex.org/keywords/clenshaw\u2013curtis-quadrature","display_name":"Clenshaw\u2013Curtis quadrature","score":0.43802446126937866},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4116831421852112},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.4004697799682617},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.3469783067703247},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19423183798789978},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.13042554259300232},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.12065306305885315},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06853613257408142}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.878105878829956},{"id":"https://openalex.org/C156760230","wikidata":"https://www.wikidata.org/wiki/Q1969650","display_name":"Trigonometric polynomial","level":3,"score":0.7525213956832886},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.6462190747261047},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.6189388036727905},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.5838404893875122},{"id":"https://openalex.org/C54691486","wikidata":"https://www.wikidata.org/wiki/Q5527851","display_name":"Gauss\u2013Jacobi quadrature","level":5,"score":0.5363774299621582},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.5299322009086609},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5168522000312805},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.49120041728019714},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.48472902178764343},{"id":"https://openalex.org/C2778406171","wikidata":"https://www.wikidata.org/wiki/Q6901742","display_name":"Polynomial basis","level":2,"score":0.48256149888038635},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47658297419548035},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4578477442264557},{"id":"https://openalex.org/C172657837","wikidata":"https://www.wikidata.org/wiki/Q5131618","display_name":"Clenshaw\u2013Curtis quadrature","level":5,"score":0.43802446126937866},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4116831421852112},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.4004697799682617},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.3469783067703247},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19423183798789978},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.13042554259300232},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.12065306305885315},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06853613257408142},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-013-9797-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9797-6","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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":26,"referenced_works":["https://openalex.org/W253307310","https://openalex.org/W299377260","https://openalex.org/W1582129286","https://openalex.org/W1590577697","https://openalex.org/W1995816184","https://openalex.org/W1996321121","https://openalex.org/W2007119463","https://openalex.org/W2020044270","https://openalex.org/W2021656599","https://openalex.org/W2036740708","https://openalex.org/W2050942494","https://openalex.org/W2055315600","https://openalex.org/W2071565598","https://openalex.org/W2072172966","https://openalex.org/W2072997916","https://openalex.org/W2078768478","https://openalex.org/W2086613898","https://openalex.org/W2093745318","https://openalex.org/W2144556822","https://openalex.org/W2147163796","https://openalex.org/W2171854205","https://openalex.org/W2251586653","https://openalex.org/W2316418224","https://openalex.org/W2495197616","https://openalex.org/W2970834917","https://openalex.org/W4301973099"],"related_works":["https://openalex.org/W4390128132","https://openalex.org/W4387847482","https://openalex.org/W2148120208","https://openalex.org/W2049479394","https://openalex.org/W3115048450","https://openalex.org/W1490898760","https://openalex.org/W4225701809","https://openalex.org/W2125520544","https://openalex.org/W2765175526","https://openalex.org/W1968235172"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2025-10-10T00:00:00"}