English
崔丽鸿, 杨守志, 杨建伟. 多元对偶尺度函数的最优逼近阶和最优光滑性[J]. 信阳师范学院学报(自然科学版), 2002, 15(2): 125-128.
引用本文: 崔丽鸿, 杨守志, 杨建伟. 多元对偶尺度函数的最优逼近阶和最优光滑性[J]. 信阳师范学院学报(自然科学版), 2002, 15(2): 125-128.
shu
CUI Li hong, YANG Shou zhi, YANG Jian wei. Optimal approximation order and optimal smoothnessof a multivariate dual scaling functions[J]. Journal of Xinyang Normal University (Natural Science Edition), 2002, 15(2): 125-128.
Citation: CUI Li hong, YANG Shou zhi, YANG Jian wei. Optimal approximation order and optimal smoothnessof a multivariate dual scaling functions[J]. Journal of Xinyang Normal University (Natural Science Edition), 2002, 15(2): 125-128.
shu

多元对偶尺度函数的最优逼近阶和最优光滑性

Optimal approximation order and optimal smoothnessof a multivariate dual scaling functions

    摘要
  • 摘要: 双正交小波由尺度函数和其对偶尺度函数对产生的多分辨分析导出 ,高光滑性、小支撑、高消失矩是双正交小波的三大重要特性 .本文讨论多元对偶尺度函数的支撑、逼近阶、光滑性之间的关系 ,并由此得出它的最优逼近阶和最优光滑性

     

    Abstract: A biorthogonal wavelet is derived from a multiresolution analysis generated by a pair consisting of a scaling function and its dual scaling function.It is well known that high smoothness,small support,and high vanishing moments are the three most important features of a biorthogonal wavelet.In this paper,the relations among these three properties are discussed and the optimal approximation order and optimal smoothness of a multivariate dual scaling functions are obtained.

     

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