exp(z)的含双参数有理逼近A-可接受的充要条件  

The necessary and sufficient conditions for A-acceptability of two parameterized rational approximations to the function exp(z)

作　　者：李超群[1] 王志勇[1] 黄乘明[1] 

机构地区：[1]华中科技大学数学系,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2005年第3期88-90,共3页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目 (10 10 10 2 7) .

摘　　要：研究了指数函数exp(z)的一类含双参数的任意高阶有理逼近 ,在使用变量替换的基础上使得有理逼近的分子分母具有类似对称的漂亮结构 ,从而得到 :当且仅当α≥ 0 ,β≥ (s- 2 ) / (2s- 3)时 ,有理逼近为A 可接受的 ;当且仅当α =(2s - 3) β - (s- 2 ) >0时 ,有理逼近为L 可接受的 .A class of arbitrarily high order rational approximations with two parameters to the function exp( z ) was studied. By the technique of variable substitution, the numerator of the rational approximations and its denominator were similarly symmetric. Then the necessary and sufficient conditions for A acceptability of the rational approximations are α≥0,β≥(s-2)/(2s-3) ,and the necessary and sufficient conditions for L acceptability of that are α=(2s-3)β-(s-2)>0 .

关 键 词：有理逼近 A-可接受 L-可接受 

分 类 号：O241.8[理学—计算数学]