# MAZUR-ORLICZ THEOREM IN CONCRETE SPACES AND INVERSE PROBLEMS RELATED TO THE MOMENT PROBLEM

@inproceedings{Olteanu2017MAZURORLICZTI, title={MAZUR-ORLICZ THEOREM IN CONCRETE SPACES AND INVERSE PROBLEMS RELATED TO THE MOMENT PROBLEM}, author={Octav Olteanu}, year={2017} }

In the first part of this work, we derive some new applications of a version of Mazur-Orlicz theorem, in concrete spaces of absolutely integrable functions and respectively continuous functions of several real variables. The second part is devoted to inverse problems related to the Markov moment problem. A geometric approach of approximating the solutions of a system with infinitely many equations involving transcendent functions, with infinitely many unknowns, is briefly discussed.

## 3 Citations

### On Markov Moment Problem and Related Inverse Problems

- Mathematics
- 2019

We give necessary and sufficient conditions for the existence of a unique solution of a multidimensional real classical Markov moment problem, in terms of quadratic forms. Next, we consider…

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

- Mathematics
- 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…

### From Hahn–Banach Type Theorems to the Markov Moment Problem, Sandwich Theorems and Further Applications

- MathematicsMathematics
- 2020

The aim of this review paper is to recall known solutions for two Markov moment problems, which can be formulated as Hahn–Banach extension theorems, in order to emphasize their relationship with the…

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