A(α)-ACCEPTABILITY OF RATIONAL APPROXIMATIONS TO FUNCTION exp(z)  

作　　者：Yang Fengjian Chen Xinming 

机构地区：[1]Zhongkai Agrotechnical College Guangzhou,Guangdong,510225,P R China [2]Wuyi University Jiangmen,Guangdong,529020,P R China

出　　处：《Analysis in Theory and Applications》2001年第3期54-59,共6页分析理论与应用（英文刊）

摘　　要：In this paper, two necessary and sufficient conditions, and a sufficient condition of A(α)-acceptability for (n, m) rationa approximation to function exp(z) are given, where a ∈ (0, x/2). A necesary and sufficient condition of A-acceptability for (n, m) rational approximation to exp(z) of order p is obtained, where n≤m≤p.In this paper, two necessary and sufficient conditions, and a sufficient condition of A(α)-acceptability for (n, m) rationa approximation to function exp(z) are given, where a ∈ (0, x/2). A necesary and sufficient condition of A-acceptability for (n, m) rational approximation to exp(z) of order p is obtained, where n≤m≤p.

分 类 号：O174.41[理学—数学]