# On Markov Moment Problem and Mazur-Orlicz Theorem

@article{Olteanu2017OnMM,
title={On Markov Moment Problem and Mazur-Orlicz Theorem},
author={Octav Olteanu and Janina Mihaela Mihăilă},
journal={Open Access Library Journal},
year={2017},
volume={4},
pages={1-10}
}
• Published 25 October 2017
• Mathematics
• Open Access Library Journal
Applications of the generalization of Mazur-Orlicz theorem to concrete spaces are proved. Suitable moment problems are solved, as applications of extension theorems of linear operators with a convex and a concave constraint. In particular, a relationship between Mazur-Orlicz theorem and Markov moment problem is partially illustrated. In the end of this work, an application to the multidimensional Markov moment problem of an earlier extension result on a distanced subspace with respect to a…
2 Citations
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## References

SHOWING 1-10 OF 21 REFERENCES
APPLICATIONS OF EXTENSION THEOREMS OF LINEAR OPERATORS TO MAZUR-ORLICZ AND MOMENT PROBLEMS
• Mathematics
• 2014
The aim of the present work is to give applications to concrete spaces of functions and operators of some theorems of extension of linear operators, with two constraints. Constrained interpolation
Markov Moment Problem and Related Approximation
The present review article contains recently published results on Markov moment problem and related approximation. The main idea is to apply theorems concerning solutions of the abstract moment
The fixed point for a transformation of Hausdorff moment sequences and iteration of a rational function
• Mathematics
• 2007
We study the fixed point for a non-linear transformation in the set of Hausdorffmoment sequences, defined by the formula: T ((an))n = 1/(a0+�E �E �E+an).We determine the corresponding measure�E,
Ordered vector spaces and linear operators
• Mathematics
• 1976
An ordered vector space is just that-a set with both a (real) vector space structure and an order relation which satisfy desirable compatibility conditions. Specialization by requiring that the least
Hardy's Condition in the Moment Problem for Probability Distributions
• Mathematics
• 2013
In probabilistic terms Hardy's condition is written as follows: ${\bf E}\,[e^{c{\sqrt X}}] 0$ a constant. If this holds, then all moments of $X$ are finite and the distribution of $X$ is uniquely
Application de théorèmes de prolongement d'opérateurs linéaires au problème des moments et à une généralisation d'un théorème de Mazur-Orlicz
Dans cette Note nous appliquons les theoremes generaux [13], th. 2, p. 514 et [14], th. I. 1, p. 956; th. I. 3, p. 963, aux problemes abstraits et classiques des moments, et aussi a un theoreme de
New Results on Markov Moment Problem
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
On Some Basic Theorems in Convex Analysis
• Modern Applied Mathematics—Optimization and Operations Research,
• 1982
Operator-Valued Mazur-Orlicz and Moment Problems in Spaces of Analytic Function
• UPB Scientific Bulletin, Series A,
• 2017