Chebyshev Biorthogonal Multiwavelets and Approximation  

作　　者：Xiaolin Zhou Qun Lin Xiaolin Zhou;Qun Lin(Tan Kah Kee College, Xiamen University, Xiamen, China;Mathematical Science College, Xiamen University, Xiamen, China)

机构地区：[1]Tan Kah Kee College, Xiamen University, Xiamen, China [2]Mathematical Science College, Xiamen University, Xiamen, China

出　　处：《Journal of Applied Mathematics and Physics》2021年第2期233-241,共9页应用数学与应用物理（英文）

摘　　要：In this paper, we construct Chebyshev biorthogonal multiwavelets, and use this multiwavelets to approximate signals (functions). The convergence rate for signal approximation is derived. The fast signal decomposition and reconstruction algorithms are presented. The numerical examples validate the theoretical analysis.In this paper, we construct Chebyshev biorthogonal multiwavelets, and use this multiwavelets to approximate signals (functions). The convergence rate for signal approximation is derived. The fast signal decomposition and reconstruction algorithms are presented. The numerical examples validate the theoretical analysis.

关 键 词：Chebyshev Polynomials Chebyshev Multiwavelets Function Approximation 

分 类 号：O17[理学—数学]