摘要
本文通过揭示某些由完全椭圆积分定义的函数之单调性与凹凸性,研究Spanier与Oldham给出的椭圆积分的4个近似表达式,导出完全棉圆积分的精确不等式。
In this paper,the author studies Spanier and Oldham's four approximations for complete elliptic integrals by showing monotoneity and concavity of certain cOmbinations of complete elliptic integrals,and derives sharp functional inequalities for these special functions.
出处
《杭州电子工业学院学报》
1995年第3期41-48,共8页
Journal of Hangzhou Institute of Electronic Engineering
关键词
完全椭圆积分
凹凸性
初等逼近
逼近
complete elliptic integrals, monotoneity, convexity and concavity, functional inequalities