首都师范大学学报（自然科学版）2012，Vol.33Issue(6)：1-4,4.
关于平方凸函数的积分型Jensen不等式
On Integral Jensen Inequality of Squared Convex Functions
摘要
Abstract
Based on the squared convexity of square convex functions, after studying the discrete Jensen inequality, the authors find the integral Jensen inequality of squared convex functions by using the definition of definite integral, Henie theorem and the limit calculation of composite functions; and construct a more widely used expression by using of a necessary & sufficient condition of squared convex functions.关键词
平方凸函数/充要条件/离散型Jensen不等式/积分型Jensen不等式Key words
square convex function/necessary & sufficient condition/discrete Jensen inequality/integral Jensen inequality分类
数理科学引用本文复制引用
陈少元,宋振云..关于平方凸函数的积分型Jensen不等式[J].首都师范大学学报（自然科学版）,2012,33(6):1-4,4.基金项目
湖北省教育科学"十一五"规划项目(2010B296) （2010B296）
