Polynomial Approximation on Unbounded Subsets, Markov Moment Problem and Other Applications

  title={Polynomial Approximation on Unbounded Subsets, Markov Moment Problem and Other Applications},
  author={Octav Olteanu},
This paper starts by recalling the author’s results on polynomial approximation over a Cartesian product A of closed unbounded intervals and its applications to solving Markov moment problems. Under natural assumptions, the existence and uniqueness of the solution are deduced. The characterization of the existence of the solution is formulated by two inequalities, one of which involves only quadratic forms. This is the first aim of this work. Characterizing the positivity of a bounded linear… 
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