Chebyshev centers proximinality and farthest points in strong normed almost linear spaces
- 19 Downloads
Some results from the theory of best (or best simultaneous) approximation in a normed linear space have been extended to a normed almost linear space [strong normed almost linear space].
KeywordsBanach Space Topological Space Linear Space Convex Subset Closed Subset
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Unable to display preview. Download preview PDF.
- Franchetti, C. and Cheney, E. W., Simultaneous approximation and restricted Chebyshev centers in function spaces, Approximation Theory and Applications, Edited by Z. Ziegler, Academic Press, New York. (1981), 65–68.Google Scholar
- Godini, G., Best approximation in normed almost linear spaces, Constructive theory of functions, Conference Proceedings, Sofia. (1984), 356–364.Google Scholar
- Kadets, M. and Zamyatin, V., Chebyshev centers in the space C[a,b], Teor. Funk. Funkcion, Anal. Pril., 7(1968), 20–26 (Russian).Google Scholar
- Lau, K. S., Approximation by continuous vector valued functions, Studia Math. 68 (1979), 291–299.Google Scholar
© Springer 1997