LIMIT OF ITERATES FOR BERNSTEIN POLYNOMIALS DEFINED ON A TRIANGLE

被引：0
|
作者：
陈发来
冯玉瑜
机构：
[1] Department of Mathematics
[2] Hefei 230026
[3] University of Science and Technology of China
来源：
Applied Mathematics:A Journal of Chinese Universities | 1993年 / 01期
关键词：
Bernstein Polynomial; Asymptotical Formula; Limit of Iterates;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let f ∈ C[0,1] , and Bn(f,x) be the n-th Bernstein polynomial associated with function f. In 1967, the limit of iterates for Bn(f,x) was given by Kelisky and Rivlin. After this, Many mathematicians studied and generalized this result. But anyway, all these discussions are only for univariate case. In this paper, the main contribution is that the limit of iterates for Bernstein polynomial defined on a triangle is given completely.
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页码：45 / 53
页数：9
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