International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 194876, 9 pages
doi:10.1155/2009/194876
New characterization for nonlinear weighted best simultaneous approximation
Xianfa Luo1
, Delin Wu1
and Jinsu He3
1Department of Mathematics, China Jiliang University, Hangzhou 310018, China
3Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
Abstract
This paper is concerned with the problem of a wide class of weighted best simultaneous approximation in normed linear spaces, and it establishes a new characterization result for the class of approximation by virtue of the notion of simultaneous regular point.