APPLICATIONS OF HAHN-BANACH PRINCIPLE TO MOMENT AND OPTIMIZATION PROBLEMS

Octav Olteanu, Constantin Udriste

Abstract


In the first section of the present paper we solve a Markov-type moment problem involving the spline functions. Thus we continue an idea from [3] (see also [14]). In the second section, we give some geometric characterizations for the minimum points of the distance function in abstract normed and Hilbert spaces. Here we continue some general ideas from [19] and [12].

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ISSN: 1229-1595 (Print), 2466-0973 (Online)