On truncated and full classical Markov moment problems

  title={On truncated and full classical Markov moment problems},
  author={Octav Olteanu},
Abstract Giving necessary and sufficient conditions for the existence of solutions of truncated and full classical Markov moment problems in terms of the given (or measured) moments, in Lp,μ (S) (1 ≤ p <∞) spaces setting, is the first aim of this work. Reduced (truncated) moment problems arise in real-world situations, where only a finite number of samples are available. We obtain solutions as nonnegative functions in a Lq,μ (S) space, where S ⊂ R is a closed subset, μ is a regular Borel… 

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