Uniqueness of periodic best L1-approximations

✍ Scribed by Manfred Sommer

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 245 KB
• Volume: 123
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1016/s0021-9045(03)00066-2

✦ Synopsis

In this paper we give a characterization of the finite-dimensional subspaces of periodic, realvalued and continuous functions which admit uniqueness of best L 1 -approximations. Our investigations are based on the well-known Property A which characterizes a finitedimensional subspace of continuous functions to be a unicity subspace with respect to a class of weighted L 1 -norms.