函数凸性在证明级数发散中的应用  

Application of Function Convexity in Proving Divergence of Series

作　　者：梁亦孔 LIANG Yikong(School of Physics,Mathematics and Statistics,Shanghai University of Engineering Science,Shanghai 201620,China)

机构地区：[1]上海工程技术大学数理与统计学院,上海201620

出　　处：《上海工程技术大学学报》2021年第1期94-96,共3页Journal of Shanghai University of Engineering Science

摘　　要：对于级数敛散性问题,从级数敛散性定义出发,结合一般项函数的凸性,给出函数上凸与下凸时级数发散的充分条件,并举例加以应用.For the convergence and divergence of series,based on the definition of convergence and divergence of series,combined with the convexity of general term functions,the sufficient conditions for the divergence of series were given when functions were upper convex or lower convex,and an example was given for application.

关 键 词：级数 凸函数 发散 

分 类 号：O13[理学—数学]