On semi-infinite optimization and chebyshev approximation with contraints

Abstract

To cite this article: Hans Strauss (1985) On semi-infinite optimization and chebyshev approximation with contraints, Numerical Functional Analysis and Optimization, 8:1-2, 153-171, ABSTRACTThe main purpose of this paper is to use the methods of semi-infinite optimization in order to study best Chebyshev approximation problems with constraints. We consider problems which do not satisfy the Haar condition. Characterization theorems of best approximations and an algorithm which computes these approximations are given. INTRODUCTION.Recently the relationship between semi-infinite optimization and approximation theory was studied exten-