a尺度紧支撑插值正交多小波的平衡性  

BALANCING OF COMPACTLY SUPPORTED INTERPOLATORY ORTHONORMAL MULTIWAVELETS WITH SCALE=a

作　　者：江力[1,2] 朱善华[2] 吕勇[2] 

机构地区：[1]中山大学数学与计算科学学院,广州510275 [2]湖南工业大学理学院,湖南株洲412008

出　　处：《数值计算与计算机应用》2009年第1期10-20,共11页Journal on Numerical Methods and Computer Applications

基　　金：湖南省教育厅科研项目(08C292)资助.

摘　　要：基于2尺度r重多尺度函数的逼近性理论,证明了关于a尺度r重多尺度函数的逼近性定理;结合a尺度a重紧支撑插值正交多小波的构造理论和对a尺度正交多小波的高阶平衡性的定义,证明了a尺度a重紧支撑插值正交多尺度函数的平衡阶与它的逼近阶是相同的.通过例子对理论结果进行了验证.Based on the approximation theory of r-multiscaling functions with scale factor 2,proved an approximation order theorem about the r-multiscaling functions with scale factor a; Com- bining with the construction theory of the compactly supported interpolatory orthonormal a-multiwavelets with scale factor a and the definition of high order bMance of orthonormM multiwavelets with scale factor a, proved that the balance order of the compactly supported interpolatory orthonormal a-multiscaling functions with scale factor a is equal to its the approximation order.Verifying the theoretic result by means of an example.

关 键 词：多小波 插值 正交性 逼近性 平衡性 

分 类 号：O174.41[理学—数学]