%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