{"created":"2023-05-15T16:36:29.516544+00:00","id":9549,"links":{},"metadata":{"_buckets":{"deposit":"a52a4b92-2317-4c3b-a6f1-8ce3de16c9c0"},"_deposit":{"created_by":2,"id":"9549","owners":[2],"pid":{"revision_id":0,"type":"depid","value":"9549"},"status":"published"},"_oai":{"id":"oai:nagasaki-u.repo.nii.ac.jp:00009549","sets":["18:105:671:706"]},"author_link":["38535","38536"],"item_3_alternative_title_19":{"attribute_name":"その他のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"Note on Convex Functions"}]},"item_3_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1994-03-25","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"37","bibliographicPageStart":"31","bibliographicVolumeNumber":"22","bibliographic_titles":[{"bibliographic_title":"長崎大学教育学部教科教育学研究報告"},{"bibliographic_title":"Bulletin of Faculty of Education, Nagasaki University：Curriculum and Teaching","bibliographic_titleLang":"en"}]}]},"item_3_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"It is well known that the arithmetic mean is greater than or equal to the geometric mean. However, there are few books in which the condition for the equality is interpreted. In this paper, by applying the nice proof of Jensen's inequality obtained by professor Akihiro Nishi at the Saga University, we give the proof by means of the convex function, including the case of the equality.","subitem_description_type":"Abstract"}]},"item_3_description_64":{"attribute_name":"引用","attribute_value_mlt":[{"subitem_description":"長崎大学教育学部教科教育学研究報告, 22, pp.31-37; 1994","subitem_description_type":"Other"}]},"item_3_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"38536","nameIdentifierScheme":"WEKO"}],"names":[{"name":"Adachi, Kenzō"}]}]},"item_3_publisher_33":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"長崎大学教育学部"}]},"item_3_relation_29":{"attribute_name":"論文ID（NAID）","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"40004337917","subitem_relation_type_select":"NAID"}}]},"item_3_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00178258","subitem_source_identifier_type":"NCID"}]},"item_3_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"03882810","subitem_source_identifier_type":"ISSN"}]},"item_3_text_62":{"attribute_name":"sortkey","attribute_value_mlt":[{"subitem_text_value":"3"}]},"item_3_text_63":{"attribute_name":"出版者別言語","attribute_value_mlt":[{"subitem_text_value":"Faculty of Education, Nagasaki University"}]},"item_3_version_type_16":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"安達, 謙三"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-12-22"}],"displaytype":"detail","filename":"kyoikuKK00_22_03.pdf","filesize":[{"value":"215.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"kyoikuKK00_22_03.pdf","url":"https://nagasaki-u.repo.nii.ac.jp/record/9549/files/kyoikuKK00_22_03.pdf"},"version_id":"0e2e52d0-1581-4e3d-9f6f-b63221b633ac"}]},"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":"凸関数について","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"凸関数について"}]},"item_type_id":"3","owner":"2","path":["706"],"pubdate":{"attribute_name":"公開日","attribute_value":"2013-01-08"},"publish_date":"2013-01-08","publish_status":"0","recid":"9549","relation_version_is_last":true,"title":["凸関数について"],"weko_creator_id":"2","weko_shared_id":-1},"updated":"2023-05-16T01:43:14.120297+00:00"}