Best simultaneous approximations from a convex subset
Bull. Korean Math. Soc. 1996 Vol. 33, No. 2, 193-204
Sung Ho Park and Hyang Joo Rhee Sogang University and Duksung Women's University
Abstract : We characterize best uniform approximations and best simultaneous approximations from a convex set in a finite dimensional subspace of continuous functions from a compact Hausdorff space to a normed linear space. In [3,4], we can find characterizations of best uniform approximations and best simultaneous approximations from finite dimensional subspaces of continuous functions. By the same argument in [3,4], we can give the desired characterization. We need some properties in .
Keywords : Best uniform approximation, Best simultaneous appro ximation