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.
identifier:長崎大学教育学部教科教育学研究報告, 22, pp.31-37; 1994
|Date|| Issued 1994-03-25
|NIItype||departmental bulletin paper|
|Identifier|| URI http://hdl.handle.net/10069/30187