| Gauss-Weierstrass算子加Jacobi权的Lp-逼近 |
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| 作者单位： | 云南民族大学 数学与计算机科学学院 |
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| 基金项目： | 云南省自然科学基金资助项目（2011SZ169）；云南省软件工程重点实验室开放基金；云南民族大学人才引进科研启动经费. |
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| 摘 要： | 对Gauss-Weierstrass算子引入Jacobi权函数，利用带权K-泛函和加权光滑模之间的等价性，研究Gauss-Weierstrass算子的导数和函数光滑性之间的关系，得出了Gauss-Weierstrass算子加权后Lp-逼近下的特征刻划.
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| 关 键 词： | Gauss-Weierstrass算子 加权Lp逼近 特征刻划 |
Weighted -approximation by Gauss-Weierstrass operators |
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| Affiliation: | School of Mathematics and Computer Science,Yunnan Nationalities University |
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| Abstract: | This paper considers the weighted Lp-approximation by Gauss-Weierstrass operators with Jacobi weight.Using the weighted K-function and the modulus of smoothness,the relations between the derivatives of Gauss-Weierstrass operators and the smoothness of the approximated function are studied.And then the characterization of the approximation rate is obtained. |
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| Keywords: | Gauss-Weierstrass operators weighted approximation characterization |
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