2021-02-25T14:04:14Zhttps://nagasaki-u.repo.nii.ac.jp/?action=repository_oaipmhoai:nagasaki-u.repo.nii.ac.jp:000095492021-02-25T05:01:57Z00018:00105:00671:00706
凸関数についてjpnhttp://hdl.handle.net/10069/30187Departmental Bulletin Paper安達, 謙三Note on Convex FunctionsIt 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.長崎大学教育学部教科教育学研究報告 = Bulletin of Faculty of Education, Nagasaki University：Curriculum and Teaching2231371994-03-2503882810AN00178258publisherhttps://nagasaki-u.repo.nii.ac.jp/?action=repository_action_common_download&item_id=9549&item_no=1&attribute_id=18&file_no=1http://ci.nii.ac.jp/naid/40004337917長崎大学教育学部Faculty of Education, Nagasaki University長崎大学教育学部教科教育学研究報告, 22, pp.31-37; 19942020-12-22