{“id”:“https://openalex.org/W3134898801网址“,”doi“:”https://doi.org/10.1016/j.jat.2021.105634“,”title“:”启用(\u03b2型,\u03b3型)-切比雪夫函数和区间点“,”display_name“:”开(\u03b2型,\u03b3型)-切比雪夫函数和区间点“,”publication_year“:2021,”publiation_date“:”2021-08-04“,”ids“:{”openalex“:”https://openalex.org/W3134898801“,”doi“:”https://doi.org/10.1016/j.jat.2021.105634“,”mag“:”3134898801“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1016/j.jat.2021.105634“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S35093870“,”display_name“:”Journal of Approximation Theory“,”issn_l“:”0021-9045“,”isn“:[”0021-90%“,”1096-0430“],”is_oa“:false,”is-in_doaj“:false,”is_core“:true,”host_organization“:”https://openalex.org/P4310320990“,”“host_organization_name”:“Elsevier BV”,“host_organization_lineage”:[“https://openalex.org/P4310320990“],”host_organization_lineage_names“:[”Elsevier BV“],“type”:“journal”},“license”:null,“licence_id”:null,“version”:null,“is_accepted”:false,“is_published”:false},”type“:”article“,”type_crossref“:“jornal-article”,“indexed_in”:[”arxiv“,”crossref“,“datacite”],“open_access”:{“is_oa”:true,“oa_status”:“green”,“oaurl”(_U):“https://arxiv.org/pdf/2102.04126“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5026527736“,”display_name“:”Stefano De Marchi“,”orcid“:”https://orcid.org/0000-0002-2832-8476},“机构”:[{“id”:https://openalex.org/I138689650“,”display_name“:”帕多瓦大学“,”ror“:”https://ror.org/00240q980“,”country_code“:”IT“,”type“:“教育”,”世系“:[”https://openalex.org/I138689650“]},{”id“:”https://openalex.org/I4210150992“,”display_name“:”Civita“,”ror“:”https://ror.org/04hn89439“,”country_code“:”IT“,”type“:“other”,”lineage“:[”https://openalex.org/I4210150992“]}],”国家“:[”IT“],”is_corresponding“:true,”raw_author_name“:”Stefano De Marchi“,”raw _affiliation_strings“:[“Dipartimento di Matematica\”Tullio Levi-Civita\“,University\u00e0 di Padova,Italy”],“affiliations”:[{“raw_affilition_string”:“Dipartitmento di-Matematica\”Tullio Levi-Civata\“_id“:[”https://openalex.org/I138689650","https://openalex.org/I4210150992“]}]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5039011924“,”display_name“:”Giacomo Elefante“,”orcid“:”https://orcid.org/0000-0001-5576-6802“},”机构“:[],”国家“:[”IT“],”is_corresponding“:false,”raw_author_name“:”Giacomo Elefante“,”raw _ afiliation_strings“:[“意大利佩斯卡拉Chieti-Pescara大学地质研究所”]意大利佩斯卡拉Chieti-Pescara大学地质系,“institution_ids”:[]}]},{“author_position”:“last”,“author”:{“id”:“https://openalex.org/A5076369015“,”display_name“:”Francesco Marchetti“,”orcid“:”https://orcid.org/0000-0003-1087-7589},“机构”:[{“id”:https://openalex.org/I138689650“,”display_name“:”帕多瓦大学“,”ror“:”https://ror.org/00240q980“,”country_code“:”IT“,”type“:“教育”,”世系“:[”https://openalex.org/I138689650“]},{”id“:”https://openalex.org/I4210150992“,”display_name“:”Civita“,”ror“:”https://ror.org/04hn89439“,”country_code“:”IT“,”type“:“other”,”lineage“:[”https://openalex.org/I4210150992“]}],”国家“:[”IT“],”is_corresponding“:false,”raw_author_name“:”Francesco Marchetti“,”raw _ afiliation_strings“:[“Dipartimento di Matematica\”Tullio Levi-Civita\“,University\u00e0 di Padova,Italy”],“afliations”:[{“raw_affiliation_strong”:“Dipartitmento di-Matematica \”Tullio Levi-Civata\“机构ID“:[”https://openalex.org/I138689650","https://openalex.org/I4210150992“]}]}],”institution_assertions“:[],”countries_distiction_count“:1,”institutions_disticent_count”:2,”corresponding_author_ids“:[”https://openalex.org/A5026527736“],”对应的机构ID“:[”https://openalex.org/I138689650","https://openalex.org/I4210150992“],”apc_list“:{”value“:2720,”currency“:”USD“,”value_USD“:2720',”provenance“:”doaj“},”apc _payed“:null,”fwci“:1.158,”has_fulltext“:true,”fulltext_origin“:”pdf“,”cited_by_count“:3,”citation_normalized_percentile“:{”value“:0.871695,”is_in_top_1_percent _by_percentile_year“:{”最小“:73,”最大“:77},”书目“:{”volume“:”271“,”issue“:null,”first_page“:”105634“,”last_page“:“105634”},”is_retracted“:false,”is_paratext“:false,”primary_topic“:{”id“:”https://openalex.org/T11191“,”display_name“:”正交多项式“,”score“:0.9998,”subfield“:{”id“:”https://openalex.org/subfields/2604“,”display_name“:”应用数学“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T11191“,”display_name“:”正交多项式“,”score“:0.9998,”subfield“:{”id“:”https://openalex.org/subfields/2604“,”display_name“:”应用数学“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10288“,”“display_name”:“异常扩散建模与分析”,“score”:0.9972,“subfield”:{“id”:“https://openalex.org/subfields/2611“,”display_name“:”建模与仿真“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T12589“,”“display_name”:“非局部偏微分方程和边值问题”,“score”:0.9958,“subfield”:{“id”:“https://openalex.org/subfields/2604“,”display_name“:”应用数学“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/chebyshev-nodes“,”display_name“:”切比雪夫节点“,”score“:0.52977395},{”id“:”https://openalex.org/keywords/正交多项式“,”display_name“:”正交多项式“,”score“:0.526479},{”id“:”https://openalex.org/keywords/matrix-valued-多项式“,”“display_name”“:”矩阵值多项式“,”score“:0.504506},{”id“:”https://openalex.org/keywords/lebesgue-measure网站“,”display_name“:”Lebesgue measure“,”score“:0.41603395}],”concepts“:[{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.80627966},{”id“:”https://openalex.org/C21424316,“wikidata”:https://www.wikidata.org/wiki/Q718621“,”display_name“:”Chebyshev filter“,”level“:2,”score“:0.72267115},{”id“:”https://openalex.org/C129785596,“wikidata”:https://www.wikidata.org/wiki/Q619511“,”display_name“:”切比雪夫多项式“,”level“:2,”score“:0.57912844},{”id“:”https://openalex.org/C171326582,“wikidata”:https://www.wikidata.org/wiki/Q1052508“,”display_name“:”切比雪夫节点“,”level“:3,”score“:0.52977395},{”id“:”https://openalex.org/C278009758,“wikidata”:https://www.wikidata.org/wiki/Q6804172网址“,”display_name“:”Measure(data warehouse)“,”level“:2,”score“:0.50268435},{”id“:”https://openalex.org/C9019067,“wikidata”:https://www.wikidata.org/wiki/Q43260“,”display_name“:”多项式“,”level“:2,”score“:0.49217573},{”id“:”https://openalex.org/C142484921,“wikidata”:https://www.wikidata.org/wiki/Q3890369网址“,”display_name“:”切比雪夫方程“,”level“:4,”score“:0.4811298},{”id“:”https://openalex.org/C11413529,“wikidata”:https://www.wikidata.org/wiki/Q8366“,”display_name“:”Algorithm“,”level“:1,”score“:0.44508126},{”id“:”https://openalex.org/C2777105136,“wikidata”:https://www.wikidata.org/wiki/Q827230“,”display_name“:”Lebesgue度量“,”level“:3,”score“:0.41603395},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.36265993},{”id“:”https://openalex.org/C14158598网址,“wikidata”:https://www.wikidata.org/wiki/Q853831“,”display_name“:”勒贝格积分“,”level“:2,”score“:0.35212085},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416(网址:https://www.wikidata.org/wiki/Q121416)“,”display_name“:”离散数学“,”level“:1,”score“:0.34575692},{”id“:”https://openalex.org/C10628310网址,“wikidata”:https://www.wikidata.org/wiki/Q619458“,”display_name“:”正交多项式“,”level“:2,”score“:0.18536815},{”id“:”https://openalex.org/C41008148,“wikidata”:https://www.wikidata.org/wiki/Q21198(网址:https://www.wikidata.org/wiki/Q21198)“,”display_name“:”计算机科学“,”level“:0,”score“:0.08354142},{”id“:”https://openalex.org/C21736991,“wikidata”:https://www.wikidata.org/wiki/Q17006917“,”display_name“:”经典正交多项式“,”level“:3,”score“:0.06328258},{”id“:”https://openalex.org/C124101348,“wikidata”:https://www.wikidata.org/wiki/Q172491“,”display_name“:”数据挖掘“,”level“:1,”score“:0.04873547}],”mesh“:[],”locations_count“:4,”location“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1016/j.jat.2021.105634“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S35093870“,”display_name“:”Journal of Approximation Theory“,”issn_l“:”0021-9045“,”isn“:[”0021-90%“,”1096-0430“],”is_oa“:false,”is-in_doaj“:false,”is_core“:true,”host_organization“:”https://openalex.org/P4310320990“,”“host_organization_name”:“Elsevier BV”,“host_organization_lineage”:[“https://openalex.org/P4310320990“],”host_organization_lineage_names“:[”Elsevier BV“],“type”:“journal”},“license”:null,“licence_id”:null,“version”:null,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“https://arxiv.org/abs/1202.04126,“pdf_url”:https://arxiv.org/pdf/2102.04126“,”源“:{”id“:”https://openalex.org/S4306400194“,”display_name“:”arXiv(康奈尔大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is.in_doaj“:false,”is_core“:fase,”host_organization“:”https://openalex.org/I205783295“,”“host_organization_name”:“康奈尔大学”,“host_organization_lineage”:[“https://openalex.org/I205783295“],”host_organization_lineage_names“:[”Cornell University“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“https://hdl.handle.net/11577/3397018,“pdf_url”:https://www.research.unipd.it/bitstream/11577/3397018/5/2102.04126.pdf“,”源“:{”id“:”https://openalex.org/S4377196283“,”display_name“:”帕多瓦研究档案馆(帕多瓦大学)“,”issn_l“:null,”issn“:null,”is_oa“:false,”is_ in_doaj“:false,”is_core“:false,”host_organization“:”https://openalex.org/I138689650“,”“host_organization_name”:“帕多瓦大学”,“host_organization_lineage”:[“https://openalex.org/I138689650“],”host_organization_lineage_names“:[”帕多瓦大学“],“type”:“repository”},“license”:“other-oa”,“licence_id”:“https://openalex.org/licenses/other-oa网站“,”version“:”submittedVersion“,”is_accepted“:false,”is_published“:false},{”is_oa“:false,”landing_page_url“:”https://api.datacite.org/dois/10.48550/arxiv.2102.04126“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S4393179698“,”display_name“:”DataCite API“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”is_core“:false,”host_organization“:”https://openalex.org/I4210145204“,”“host_organization_name”:“DataCite”,“host_organization_lineage”:[“https://openalex.org/I4210145204“],”host_organization_lineage_names“:[”DataCite“],“type”:“metadata”},“license”:null,“licence_id”:null,“version”:null}],“best_oa_location”:{“is_oa”:true,“landing_page_url”:“https://arxiv.org/abs/1202.04126,“pdf_url”:https://arxiv.org/pdf/2102.04126“,”源“:{”id“:”https://openalex.org/S4306400194“,”display_name“:”arXiv(康奈尔大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is.in_doaj“:false,”is_core“:fase,”host_organization“:”https://openalex.org/I205783295“,”“host_organization_name”:“康奈尔大学”,“host_organization_lineage”:[“https://openalex.org/I205783295“],”host_organization_lineage_names“:[”康奈尔大学“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},”sustainable_development_goals“:[],“grants”:[]https://openalex.org/W3134898801“],”referenced_works_count“:39,”referenced_works“:[”https://openalex.org/W1968651666","https://openalex.org/W1976257805","https://openalex.org/W1992443231","https://openalex.org/W1997701847","https://openalex.org/W1999087103","https://openalex.org/W2007407491","https://openalex.org/W2019343284","https://openalex.org/W2028468639","https://openalex.org/W2041517399","https://openalex.org/W2059998776","https://openalex.org/W2078768478","https://openalex.org/W2082089361","https://openalex.org/W2101080905","https://openalex.org/W2105709923","https://openalex.org/W2109990880","https://openalex.org/W2138504599","https://openalex.org/W2144181355","https://openalex.org/W2185627071","https://openalex.org/W2188077640","https://openalex.org/W2222693661","https://openalex.org/W2295444475","https://openalex.org/W231202553","https://openalex.org/W2476153571","https://openalex.org/W2480289783","https://openalex.org/W2507043639","https://openalex.org/W253307310","https://openalex.org/W2573743997","https://openalex.org/W2772507432","https://openalex.org/W2785681717","https://openalex.org/W2899745446","https://openalex.org/W2915470432","https://openalex.org/W2922153620","https://openalex.org/W2963010479","https://openalex.org/W2998494164","https://openalex.org/W3010381964","https://openalex.org/W304351236","https://openalex.org/W3046636392","https://openalex.org/W3091780682","https://openalex.org/W3105039351“],”related_works“:[”https://openalex.org/W2509298154","https://openalex.org/W2179563627","https://openalex.org/W2136992695","https://openalex.org/W2112919228","https://openalex.org/W2054912819","https://openalex.org/W2043532630","https://openalex.org/W2034868998","https://openalex.org/W2025308149","https://openalex.org/W2021099221","https://openalex.org/W1866822838“],”abstract_inverted_index“:{”In“:[0,49],”this“:[1],”paper“:[2],”we“:[3,31,51,70],”introduce“:[4],”the“:[5,28,53,87,90,94102],”class“:[6],”of“:[7,20,40,66,74,81,89,93],”$(\\beta,\\gamma)$-Chebyshev“:[8,29,82],”functions“:[9],”and“:[10,25,76105],“对应”:[11],“点”:[12],“其中”:[13],“可以”:[14],“是”:[15],“看到”:[16],“作为”:[17]a”:[18,45],“族”:[19],“{\\ it”:[21],“广义}”:[22],“切比雪夫”:[23,64,75],“多项式”:[24,65],“点。“:[26,83],“For”:[27],“functions”,“:[30],“prove”:[32],“that”:[33,72],“they”:[34,56],“are”:[35,79],“orthogonal”:[3],“in”:[37],“sequent”:[38],“subintervals”:[39],“$[-1,1]$”:[41],“with”:%42],“respect”:[43],“to”:[44],“weighted”:[46],“arc-cosine”:[47],“测量。“:[48],”special“:[50],”investive“:[52],”cases“:[54],”where“:[55],”become“:[57],”多项式“:[58],”derivating“:[59],”new“:60],”results“:[61],”converting“:-62],”classical“:/63],”first“:[67],”kind“。“:[68],”除此之外,“:[69],”显示“:[71],”子集“:[73],”切比雪夫-洛巴托“:[77],”点“:[78,99],”实例“:[80],”我们“:[84],”也“:[85],”研究“:[86],”行为“:[88],”勒贝格“:[91],”常数“:[92],”多项式“:[95],”插值“:[96],”在“:[97],”这些“:[98],”on“:[100],”variang“:[101],”parameters“:[103],”$\\beta$“:[104],”$\\gamma$“。“:[106]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W3134898801“,”counts_by_year“:[{”年份“:2023,”cited_by_count“:1},{”年“:2022,”cited_by_count”:1}.,{“年份”:2021,”citecd_by_count“:1}],”updated_date“:”2024-09-18T05:56:45.854505“,”created_date:“2021-03-15”}