| Gauss—Weierstrass算子的某些逼近性质 |
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| 引用本文： | 陈历敏.Gauss—Weierstrass算子的某些逼近性质[J].广西师范学院学报(自然科学版),1997(4). |
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| 作者姓名： | 陈历敏 |
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| 作者单位： | 广东省湛江师范学院数学系!湛江，524048 |
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| 摘 要： | 该文主要讨论了Gauss—Weierstrass算子｛Wn｝在给定点对LipschitZ函数类的逼近误差以及某些高阶逼近问题，并得到了｛wn｝的局部Nikolskii常数。
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| 关 键 词： | Gauss-Weiertrass算子 逼近误差 |
Some Approximation Properties of the Gauss-Weierstrass Operator |
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| Chen Limin.Some Approximation Properties of the Gauss-Weierstrass Operator[J].Journal of Guangxi Teachers Education University:Natural Science Edition,1997(4). |
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| Authors: | Chen Limin |
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| Abstract: | In this paprt,the approximate error and some appoximation properties ofhigher order of the Lipschit2 class by the Gauss-Weierstrass operator are considered,thelocal Nikolskii constant of this operator is obtained. |
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| Keywords: | Gauss -Weiertrass operator Approximate error |
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