A New Vector-Valued Padé-Type Approximation in the Inner Space  

作　　者：Chunjing Li 

机构地区：[1]Department of Mathematics, Tongji University, Shanghai 200331, China

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》2006年第2期127-136,共10页

基　　金：The work is supported by the National Natural Science Foundation of China (10271074).

摘　　要：A new vector-valued Pad′e-type approximation is defined by introducing a gener- alized vector-valued linear functional from a scalar polynomial space to a vector space. Some algebraic properties and error formulas are presented. The expressions of this Pad′e-type ap- proximants are provided with the generating function form and the determinant form.A new vector-valued Padé-type approximation is defined by introducing a generalized vector-valued linear functional from a scalar polynomial space to a vector space. Some algebraic properties and error formulas are presented. The expressions of this Padé-type approximants are provided with the generating function form and the determinant form.

关 键 词：逼近 内部空间 标量多项式空间 向量估计 

分 类 号：O24[理学—计算数学]