杨柱元, 刘永平. Lipschitz空间的Cardinal样条逼近[J]. 云南大学学报(自然科学版), 2006, 28(4): 281-284.
引用本文: 杨柱元, 刘永平. Lipschitz空间的Cardinal样条逼近[J]. 云南大学学报(自然科学版), 2006, 28(4): 281-284.
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YANG Zhu-yuan, LIU Yong-ping. Approximation of Lipschitz spaces from Cardinal splines[J]. Journal of Yunnan University: Natural Sciences Edition, 2006, 28(4): 281-284.
Citation: YANG Zhu-yuan, LIU Yong-ping. Approximation of Lipschitz spaces from Cardinal splines[J]. Journal of Yunnan University: Natural Sciences Edition, 2006, 28(4): 281-284.
shu

Lipschitz空间的Cardinal样条逼近

Approximation of Lipschitz spaces from Cardinal splines

    摘要
  • 摘要: 给出了Lipschitz空间Lip(γ,Lp)利用多元Cardinal样条的逼近和刻画,给出了Cardinal样条逼近算子的Bernstein不等式以及K-泛函由逼近阶的控制不等式.

     

    Abstract: A characterization of Lipschitz spaces by Cardinal splines is obtained,and meantime the Bernstein inequality of approximation operator and the estimate of K-functional by approximation order are obtained.

     

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