Title of article :
A NOTE ON THE BEST APPROXIMATION IN SPACES OF AFFINE FUNCTIONS
Author/Authors :
Maysami Sadr ، Maysam Department of Mathematics - Institute for Advanced Studies in Basic Sciences
Abstract :
The proximinality of certain subspaces of spaces of bounded affine functions is proved. The results presented here are some linear versions of an old result due to Mazur. For the proofs we use some sandwich theorems of Fenchel’s duality theory.
Keywords :
Best approximation , convex set , affine function , sandwich theorem
Journal title :
Mathematical Analysis and Convex Optimization
Journal title :
Mathematical Analysis and Convex Optimization
