Uniqueness of periodic best L1-approximations

JOURNAL OF APPROXIMATION THEORY

卷:123

Article

Sommer, M

关键词: uniqueness of best L-1-approximations;    periodic functions;    property A;    spline functions;   

DOI  :  10.1016/S0021-9045(03)00066-2

来源: Elsevier

【 摘 要 】

In this paper we give a characterization of the finite-dimensional subspaces of periodic, real-valued and continuous functions which admit uniqueness of best L-1-approximations. Our investigations are based on the well-known Property A which characterizes a finite-dimensional subspace of continuous functions to be a unicity subspace with respect to a class of weighted L-1-norms. (C) 2003 Elsevier Science (USA). All rights reserved.

【 授权许可】

Free