知识与财富的链接
基于平方凸函数的平方凸性,研究了离散形式的Jensen不等式,运用定积分的定义、Henie定理及复合函数极限运算,得到了平方凸函数的积分型Jensen不等式;利用平方凸函数的一个充要条件,建立了平方凸函数的积分型Jensen不等式的推广形式.
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.