摘要
研究推广的Bernstein多项式Cn(f,Sn;x)对函数及其导数的同时逼近;对于f∈C(0,1)^n+1,p≥1,给出了Cn^(p)(f,Sn;x)的渐进展开式.
In this paper the simultaneous approximation of generalized Bernstein polynomial Cn(f,Sn;x)for functions and the derivatives is studied. For f∈C(0,1)^n+1,p≥1,the asymptotic representation of Cn^(p)(f,Sn;x)is proved.
作者
马雪峰
薛银川
Ma Xuefeng, Xue Yinchuan ( School of Mathematics and Computer Science, Ningxia University, Yinchuan, Ningxia, 750021 )
出处
《绍兴文理学院学报(自然科学版)》
2005年第4期10-13,41,共5页
Journal of Shaoxing College of Arts and Sciences
基金
宁夏大学科研基金资助(LG0506)