摘要
本文利用Ho..lder不等式,证明了[0,1]区间上满足Lipschitz条件函数f(x)的Bernstein多项式)。cknxk(1-x)n-k一致收敛到f(x)且收敛速度为O(1fn(x)
In this paper,by the use of (H(o(..))lder)inequality,we proved when function f(x) satisfies Lipschitz on the interval of [0 1] its Bernstein po lynomial fn(x) converges to function f(x) uniformly and the convergence rate is O(1n) .
出处
《安庆师范学院学报（自然科学版）》
2004年第2期50-51,共2页
Journal of Anqing Teachers College(Natural Science Edition)
