杨柱元, 刘永平. Cardinal-Hermite插值逼近[J]. 云南大学学报(自然科学版), 2006, 28(5): 374-377.
引用本文: 杨柱元, 刘永平. Cardinal-Hermite插值逼近[J]. 云南大学学报(自然科学版), 2006, 28(5): 374-377.
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YANG Zhu-yuan, LIU Yong-ping. Approximation by Cardinal-Hermite interpolation[J]. Journal of Yunnan University: Natural Sciences Edition, 2006, 28(5): 374-377.
Citation: YANG Zhu-yuan, LIU Yong-ping. Approximation by Cardinal-Hermite interpolation[J]. Journal of Yunnan University: Natural Sciences Edition, 2006, 28(5): 374-377.
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Cardinal-Hermite插值逼近

Approximation by Cardinal-Hermite interpolation

    摘要
  • 摘要: Sobolev空间的Cardinal样条逼近已有较多研究.在此研究了Sobolev空间的Cardinal-Hermite插值问题,构造了插值逼近算子,并利用插值算子对多项式的重构性质获得了逼近阶的估计.

     

    Abstract: The cardinal spline approximation of Sobolev spaces is studied in many papers by the authors.Here the approximation of Cardinal-Hermite intepolation is considered and the approximation operator is constructed and the approximation order is obtained by using the property of reproducing polynomials of the operator.

     

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