New Results on Markov Moment Problem

@article{Olteanu2013NewRO,
  title={New Results on Markov Moment Problem},
  author={Octav Olteanu},
  journal={International Journal of Analysis},
  year={2013},
  volume={2013},
  pages={1-17}
}
  • Octav Olteanu
  • Published 3 February 2013
  • Mathematics
  • International Journal of Analysis
The present work deals with the existence of the solutions of some Markov moment problems. Necessary conditions, as well as necessary and sufficient conditions, are discussed. One recalls the background containing applications of extension results of linear operators with two constraints to the moment problem and approximation by polynomials on unbounded closed finite-dimensional subsets. Two domain spaces are considered: spaces of absolute integrable functions and spaces of analytic functions… 
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