%0 Journal Article
%T The Inequalities Involving Jensen Functions
涉及Jensen函数的不等式
%A Wen Jiajin
%A
文家金
%J 系统科学与数学
%D 2007
%I
%X The concepts of Jensen function and Jensen mean are introduced.By means of mathematical and algebraic tools,the factoring formula of Jensen functions is obtained. Using this formula,a brand-new idea for strengthened and generalized Jensen's inequality is also given.As an application,we give a sufficient condition under which Jensen's inequality holds.Our aim is to provide some useful analytical inequalities for mathematics research.
%K Jensen function
%K Jensen mean
%K variance mean
%K Jensen's inequality
Jensen函数
%K Jensen平均
%K 方差平均
%K Jensen不等式
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=6CF959371611570B&yid=A732AF04DDA03BB3&vid=DB817633AA4F79B9&iid=0B39A22176CE99FB&sid=3D9746C06EC12B45&eid=AD16A18DBD734D13&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=10