| 一类多元Gauss-Weierstrass 算子线性组合的加权Lp-逼近 |
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| 引用本文： | 赵德钧.一类多元Gauss-Weierstrass 算子线性组合的加权Lp-逼近[J].数学杂志,2006,26(3):335-342. |
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| 作者姓名： | 赵德钧 |
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| 作者单位： | 绍兴文理学院数学系,浙江绍兴,312000;浙江理工大学数学研究所,浙江杭州,310018 |
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| 基金项目： | 浙江省自然科学基金资助课题(102002) |
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| 摘 要： | 本文研究一类多元Gauss-Weierstrass算子的线性组合加Jacobi型权逼近的性质,利用加权矩量不等式及加权K-泛函、光滑模等工具,建立了这类算子在Lp(1≤p≤∞)空间的正、逆定理和逼近阶的特征刻划.
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| 关 键 词： | 多元Gauss-Weierstrass算子 多元线性组合 加权Lp-逼近 |
| 文章编号： | 0255-7797（2006）03-0335-08 |
| 收稿时间： | 2004-03-01 |
| 修稿时间： | 2004-03-01 |
WEIGHTED Lp-APPROXIMATION BY A CLASS OF COMBINATIONS OF MULTIDIMENSIONAL GAUSS-WEIERSTRASS OPERATORS |
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| ZHAO De-jun.WEIGHTED Lp-APPROXIMATION BY A CLASS OF COMBINATIONS OF MULTIDIMENSIONAL GAUSS-WEIERSTRASS OPERATORS[J].Journal of Mathematics,2006,26(3):335-342. |
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| Authors: | ZHAO De-jun |
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| Institution: | 1. Dept. of Math. , Shaoxing College of Arts and Sciences, Shaoxing 312000, China; 2. Institute of Math. , Zhejiang Sci-Tech University, Hangzhou 310018, China |
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| Abstract: | In this paper,we investigate the approximation characters of the weighted approximation with the Jacobi type weighted by a class of combinations of Gauss-Weierstrass operators,and by means of the inequalities of the weighted moments and the tools of functional,moduli of smoothness,we establish the direct and converse theorems and the characterization of approximation rate with these operators in the spaces. |
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| Keywords: | multidimensional Gauss-Weierstrass operators linear combination of multidimensional operators weighted Lp-approximation |
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