摘要
研究I.Joo引入的在区间[0,+∞)上定义的一个插值过程R_n(f,x).逼近可微函数f(x)的阶以及同时逼近问题.
This paper considers an interpolation process R_n(f,x) which is defined in[0,+∞) and was introduced first by I.Joo as the"stable interpolation".We obtain the degree of R_n(f,x) approximating differentiable function f(x) and study the problem of the meanwhile approximation.
出处
《数学研究》
CSCD
2010年第4期397-401,共5页
Journal of Mathematical Study
关键词
插值
逼近
逼近阶
连续模
Laguerre多项式
LIPSCHITZ条件
Interpolation
Approximation
The degree of approximation
The modulus of continuity
Laguerre polynomial
Lipschitz condition