| 关于伯恩斯坦多项式在无穷区间上的一种普遍推广 |
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| 引用本文： | 谷峰,谷敏芳.关于伯恩斯坦多项式在无穷区间上的一种普遍推广[J].高师理科学刊,1997(2). |
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| 作者姓名： | 谷峰 谷敏芳 |
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| 作者单位： | 安达技工学校 |
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| 摘 要： | 本文引进Bernstein多项式在无穷区间上的另一推广形式（s是正整数）我们证明了：在一定条件下。在f（x）的连续点处，有并在一定条件下，得到了Bns（f；x）对于f（x）的逼近度．
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| 关 键 词： | Bernstein多项式 逼近度 连续点 |
A Generalization of Bernstein Polynomial to an Infinite Interval |
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| Gu Feng, Gu Minfang.A Generalization of Bernstein Polynomial to an Infinite Interval[J].Journal of Science of Teachers＇College and University,1997(2). |
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| Authors: | Gu Feng Gu Minfang |
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| Institution: | Gu Feng; Gu Minfang(Department of Maths) (Anda Technological School ) |
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| Abstract: | The article recommends another generalization of Bernstein polynomial to an infin ite interval(s is positive integer)we have proved: under a given condition,at continuous points of function f(x),there is lim Bns(f; x) =f(x) also under a given condition, we investsate the degree of approximation by Bns(f; x) |
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| Keywords: | Bernstein polynomial Degree of approximation Continuous point |
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