{"created":"2023-06-19T09:36:07.105342+00:00","id":671,"links":{},"metadata":{"_buckets":{"deposit":"6953ab13-2b9e-412e-b447-deaeca24b806"},"_deposit":{"created_by":16,"id":"671","owners":[16],"pid":{"revision_id":0,"type":"depid","value":"671"},"status":"published"},"_oai":{"id":"oai:mue.repo.nii.ac.jp:00000671","sets":["1:3:69"]},"author_link":["1633"],"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2018-01-31","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"96","bibliographicPageStart":"85","bibliographicVolumeNumber":"52","bibliographic_titles":[{"bibliographic_title":"宮城教育大学紀要"},{"bibliographic_title":"Bulletin of Miyagi University of Education","bibliographic_titleLang":"en"}]}]},"item_10002_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"　Riemann積分の定義の方法には2つの流儀があり,それは,Riemann和から定義するものと,Darbouxの上積分,下積分から定義するものである.この2つの定義の同値性を証明するための鍵となるのがDarbouxの定理であるが,その証明はRiemann積分の理論の中では最も難しいものである.本稿においては,初学者の理解の手助けとなるように,Darbouxの定理の厳密かつ丁寧な証明を与える.また,積分可能な関数とLipschitz連続な関数の合成関数の積分可能性を証明し,これを用いて積分可能な関数の絶対値や積の積分可能性を導く.","subitem_description_type":"Abstract"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"宮城教育大学"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"佐藤, 得志"}],"nameIdentifiers":[{"nameIdentifier":"1633","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"9000002360455","nameIdentifierScheme":"CiNii ID","nameIdentifierURI":"http://ci.nii.ac.jp/nrid/9000002360455"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-02-20"}],"displaytype":"detail","filename":"52_08_佐藤得志_Darbouxの定理と関数のRiemann積分可能性について.pdf","filesize":[{"value":"2.6 MB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"Darbouxの定理と関数のRiemann積分可能性について","url":"https://mue.repo.nii.ac.jp/record/671/files/52_08_佐藤得志_Darbouxの定理と関数のRiemann積分可能性について.pdf"},"version_id":"ea0e04e4-d9ba-43e8-b819-90cbfb82e70a"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Riemann積分,Darbouxの定理,合成関数,Lipschitz連続","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Darbouxの定理と関数のRiemann積分可能性について","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Darbouxの定理と関数のRiemann積分可能性について"},{"subitem_title":"On Darboux’s theorem and integrability of functions in the sense of Riemann","subitem_title_language":"en"}]},"item_type_id":"10002","owner":"16","path":["69"],"pubdate":{"attribute_name":"公開日","attribute_value":"2018-02-20"},"publish_date":"2018-02-20","publish_status":"0","recid":"671","relation_version_is_last":true,"title":["Darbouxの定理と関数のRiemann積分可能性について"],"weko_creator_id":"16","weko_shared_id":-1},"updated":"2023-06-19T10:02:15.302834+00:00"}