Characterization of best Chebyshev approximations with prescribed norm |
| |
| Authors: | Michael D. Ross Geneva G. Belford |
| |
| Affiliation: | Department of Mathematics, Slippery Rock State College, Slippery Rock, Pennsylvania 16057 USA;Center for Advanced Computation, University of Illinois, Urbana, Illinois 61801 USA |
| |
| Abstract: | ![]()
In this paper a new characterization of smooth normed linear spaces is discussed using the notion of proximal points of a pair of convex sets. It is proved that a normed linear space is smooth if and only if for each pair of convex sets, points which are mutually nearest to each other from the respective sets are proximal. |
| |
| Keywords: | 41A65 41A50 Smooth norm Chebyshev subspace proximal points Gâteaux-differentiable subdifferential |
| 本文献已被 ScienceDirect 等数据库收录！ |
