【摘要】 利用二元函数为凸函数的微分判别准则,证明了二阶可微的一元凸函数的算术平均值关于积分上下限为凸函数,加强了其是S-凸函数的一个结论.后者是由Elezovic,N.和Pecaric,J.得到的.更多还原

【Abstract】 By differential criterion of convex function in several variables,this paper proves that the arithmetic mean involving convex function is convex to upper limit and lower limit of the integral,which improves a result relating to the S-convex function,with the latter proved by Elezovic,N.and Pecaric,J.更多还原