混合光滑函数类的双曲波逼近  

Approximation of multivariate functions with a certain mixed smoothness by hyperbolic wavelet

作　　者：蒋艳杰[1] 

机构地区：[1]华北电力大学数理学院 河北保定071003

出　　处：《华北电力大学学报（自然科学版）》2004年第5期102-104,共3页Journal of North China Electric Power University：Natural Science Edition

摘　　要：通过用一元小波的张量积构造多元小波基,给出其双曲部分和对混合光滑Sobolev类逼近的 Jackson及 Bernstein 型不等式估计。In this paper, the Jackson and Bernstein inequalities for the approximation of Sobolev classes with mixed smoothness by certain hyperbolic partial sums of multivariate wavelet bases formed by tensor products of univariate wavelets are obtained.

关 键 词：逼近 光滑函数 SOBOLEV类 部分和 张量积 小波基 不等式 混合 估计 

分 类 号：TM711[电气工程—电力系统及自动化] O174[理学—数学]