| 多元无界函数的Bernstein型多项式算子逼近 |
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| 引用本文： | 杨子孝,王森.多元无界函数的Bernstein型多项式算子逼近[J].山西大学学报(自然科学版),1989,12(2):113-119. |
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| 作者姓名： | 杨子孝 王森 |
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| 摘 要： | 本文应用“扩张乘数法”,用M.Madeleine给出的积分型改进Bernstin多项式算子,逼近多维欧氏空间中第一“卦限”上的多元无界函数,得到了四种类型无界函数逼近定理。
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| 关 键 词： | 扩张乘数法 Bernstein型算子 |
APPROXIMATION OF MULTIPLE UNBOUNDED FUNCTIONS BY BERNSTEIN TYPE POLYNOMIAL OPERATORS |
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| Yang Zixiao Wang Sen.APPROXIMATION OF MULTIPLE UNBOUNDED FUNCTIONS BY BERNSTEIN TYPE POLYNOMIAL OPERATORS[J].Journal of Shanxi University (Natural Science Edition),1989,12(2):113-119. |
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| Authors: | Yang Zixiao Wang Sen |
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| Institution: | Yang Zixiao Wang Sen |
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| Abstract: | In this paper we transform a sequense of modified Berstein type operators, defined on the finite simplex, into another sequence of operators by "the method of extension multiplier" Then we use it to approximate the unbounded functions defined on first "quadrant" of multidimensional Euclidien space and obtain four kinds of theorems of approximation for unbounded functions. |
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| Keywords: | Bernstein operators Method of extension multiplier |
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