{"created":"2023-06-20T13:00:01.759384+00:00","id":4098,"links":{},"metadata":{"_buckets":{"deposit":"d20fa5f5-ed72-4e5a-9814-c273f152bb62"},"_deposit":{"created_by":2,"id":"4098","owners":[2],"pid":{"revision_id":0,"type":"depid","value":"4098"},"status":"published"},"_oai":{"id":"oai:fun.repo.nii.ac.jp:00004098","sets":["22:28","25:81:102"]},"author_link":["7364","7365","79"],"item_5_biblio_info_5":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2009","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"1571","bibliographicPageStart":"1553","bibliographicVolumeNumber":"78","bibliographic_titles":[{"bibliographic_title":"Mathematics of Computation"}]}]},"item_5_description_3":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"1974年に高橋・森により考案された二重指数関数型変換（以下DE変換）は、今日では、定積分だけでなく関数近似を始めとした様々な数値計算の分野で用いられている。関数近似においては、前述のSinc関数系による関数近似と組み合わせることで高精度公式が提案されており、DE-Sinc近似公式と呼ばれている。DE-Sinc近似公式についても、これらが高精度となるための厳密な数学的条件は、これまであまり明確ではなかった。そこで本論文では、これらの数学的条件を明確にし、その条件のもとでの誤差評価を与えた。","subitem_description_type":"Abstract"}]},"item_5_publisher_17":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"American Mathematical Society"}]},"item_5_select_10":{"attribute_name":"単著共著","attribute_value_mlt":[{"subitem_select_item":"共著/joint"}]},"item_5_select_8":{"attribute_name":"査読有無","attribute_value_mlt":[{"subitem_select_item":"あり/yes"}]},"item_5_select_9":{"attribute_name":"研究業績種別","attribute_value_mlt":[{"subitem_select_item":"原著論文/Original Paper"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"metadata only access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_14cb"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"","affiliationNameIdentifierScheme":"ISNI","affiliationNameIdentifierURI":"http://www.isni.org/isni/"}],"affiliationNames":[{"affiliationName":"","affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"田中, 健一郎","creatorNameLang":"ja"}],"familyNames":[{"familyName":"田中","familyNameLang":"ja"}],"givenNames":[{"givenName":"健一郎","givenNameLang":"ja"}],"nameIdentifiers":[{"nameIdentifier":"79","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"70610640","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=70610640"},{"nameIdentifier":"0000-0003-0359-0969","nameIdentifierScheme":"ORCIDID","nameIdentifierURI":"https://orcid.org/0000-0003-0359-0969"}]},{"creatorNames":[{"creatorName":"Sugihara, Masaaki"}],"nameIdentifiers":[{"nameIdentifier":"7364","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Murota, Kazuo"}],"nameIdentifiers":[{"nameIdentifier":"7365","nameIdentifierScheme":"WEKO"}]}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Function Classes for Successful DE-Sinc Approximations","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Function Classes for Successful DE-Sinc Approximations"}]},"item_type_id":"5","owner":"2","path":["28","102"],"pubdate":{"attribute_name":"公開日","attribute_value":"2011-06-29"},"publish_date":"2011-06-29","publish_status":"0","recid":"4098","relation_version_is_last":true,"title":["Function Classes for Successful DE-Sinc Approximations"],"weko_creator_id":"2","weko_shared_id":-1},"updated":"2025-02-07T04:47:35.312318+00:00"}