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凸関数について
http://hdl.handle.net/10069/30187
http://hdl.handle.net/10069/301874920191b-fa25-4900-9135-bb203ea0144d
名前 / ファイル | ライセンス | アクション |
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kyoikuKK00_22_03.pdf (215.3 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2013-01-08 | |||||
タイトル | ||||||
タイトル | 凸関数について | |||||
言語 | ||||||
言語 | jpn | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
安達, 謙三
× 安達, 謙三 |
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著者別名 | ||||||
姓名 | Adachi, Kenzō | |||||
その他のタイトル | ||||||
その他のタイトル | Note on Convex Functions | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | 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. | |||||
書誌情報 |
長崎大学教育学部教科教育学研究報告 en : Bulletin of Faculty of Education, Nagasaki University:Curriculum and Teaching 巻 22, p. 31-37, 発行日 1994-03-25 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 03882810 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00178258 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
論文ID(NAID) | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | NAID | |||||
関連識別子 | 40004337917 | |||||
出版者 | ||||||
出版者 | 長崎大学教育学部 | |||||
出版者別言語 | ||||||
Faculty of Education, Nagasaki University | ||||||
sortkey | ||||||
3 | ||||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 長崎大学教育学部教科教育学研究報告, 22, pp.31-37; 1994 |