王军辉, 杨柱元, 雷靖. Gauss-Weierstrass算子加Jacobi权的Lp-逼近[J]. 云南大学学报(自然科学版), 2011, 33(S2): 165-167.
引用本文: 王军辉, 杨柱元, 雷靖. Gauss-Weierstrass算子加Jacobi权的Lp-逼近[J]. 云南大学学报(自然科学版), 2011, 33(S2): 165-167.
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Weighted -approximation by Gauss-Weierstrass operators[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(S2): 165-167.
Citation: Weighted -approximation by Gauss-Weierstrass operators[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(S2): 165-167.
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Gauss-Weierstrass算子加Jacobi权的Lp-逼近

Weighted -approximation by Gauss-Weierstrass operators

    摘要
  • 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Lp-逼近下的特征刻划.

     

    Abstract: This paper considers the weighted Lp-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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