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

@inproceedings{Olteanu2020PolynomialAO, title={Polynomial Approximation on Unbounded Subsets, Markov Moment Problem and Other Applications}, author={Octav Olteanu}, year={2020} }

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…

## 5 Citations

On Markov Moment Problem and Related Results

- MathematicsSymmetry
- 2021

New results and theorems on the vector-valued Markov moment problem are proved by means of polynomial approximation on unbounded subsets, also applying an extension of the positive linear operators’ result.

On Markov Moment Problem, Polynomial Approximation on Unbounded Subsets, and Mazur-Orlicz Theorem

- MathematicsSymmetry
- 2021

A general extension theorem for linear operators with two constraints is recalled and applied to concrete spaces and found that Hahn–Banach type theorems for the extension of linear operators having a codomain such a space can be applied.

On truncated and full classical Markov moment problems

- Mathematics
- 2021

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 ≤…

On Hahn-Banach theorem and some of its applications

- MathematicsOpen Mathematics
- 2022

Abstract First, this work provides an overview of some of the Hahn-Banach type theorems. Of note, some of these extension results for linear operators found recent applications to isotonicity of…

On the Moment Problem and Related Problems

- MathematicsMathematics
- 2021

Firstly, we recall the classical moment problem and some basic results related to it. By its formulation, this is an inverse problem: being given a sequence (yj)j∈ℕn of real numbers and a closed…

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