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On the Moment Problem and Related Problems

open access: yesMathematics, 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 subset F⊆ℝn, n∈{1,2,…}, find a positive regular Borel ...
Octav Olteanu
doaj   +4 more sources

The multidimensional truncated moment problem: The moment cone [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2022
1 figure, 3 ...
Philipp J Di Dio, Konrad Schmüdgen
exaly   +5 more sources

Shape, Velocity, and Exact Controllability for the Wave Equation

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2022
A new method to prove exact controllability for the wave equation is demonstrated and discussed on several examples. The method of proof first uses a dynamical argument to prove shape controllability and velocity controllability, thereby solving their ...
Sergei Avdonin   +2 more
doaj   +1 more source

On the Truncated Multidimensional Moment Problems in Cn

open access: yesAxioms, 2022
We consider the problem of finding a (non-negative) measure μ on B(Cn) such that ∫Cnzkdμ(z)=sk, ∀k∈K. Here, K is an arbitrary finite subset of Z+n, which contains (0,…,0), and sk are prescribed complex numbers (we use the usual notations for multi ...
Sergey Zagorodnyuk
doaj   +1 more source

Non-Iterative Solution Methods for Cauchy Problems for Laplace and Helmholtz Equation in Annulus Domain

open access: yesMathematics, 2021
This note is concerned with two new methods for the solution of a Cauchy problem. The first method is based on homotopy-perturbation approach which leads to solving a series of well-posed boundary value problems.
Mohsen Tadi, Miloje Radenkovic
doaj   +1 more source

On the Convergence of Moment Problems [PDF]

open access: yesTransactions of the American Mathematical Society, 1991
We study the problem of estimating a nonnegative density, given a finite number of moments. Such problems arise in numerous practical applications. As the number of moments increases, the estimates will always converge weak
Borwein, J. M., Lewis, A. S.
openaire   +1 more source

On the moment-determinacy of power Lindley distribution and some applications to software metrics

open access: yesAnais da Academia Brasileira de Ciências, 2021
The Lindley distribution and its numerous generalizations are widely used in statistical and engineering practice. Recently, a power transformation of Lindley distribution, called the power Lindley distribution, has been introduced by M. E. Ghitany et al.
MOHAMMED KHALLEEFAH   +2 more
doaj   +1 more source

Deficiency indices of block Jacobi matrices and Miura transformation

open access: yesSpecial Matrices, 2022
We study the infinite Jacobi block matrices under the discrete Miura-type transformations which relate matrix Volterra and Toda lattice systems to each other and the situations when the deficiency indices of the corresponding operators are the same.
Osipov Andrey
doaj   +1 more source

The truncated matrix trigonometric moment problem with an open gap

open access: yesConcrete Operators, 2014
This paper is a continuation of our previous investigations on the truncated matrix trigonometric moment problem in Ukrainian Math. J., 2011, 63, no. 6, 786-797, and Ukrainian Math. J., 2013, 64, no. 8, 1199- 1214.
Zagorodnyuk Sergey
doaj   +1 more source

Methods of Moment and Maximum Entropy for Solving Nonlinear Expectation

open access: yesMathematics, 2019
In this paper, we consider a special nonlinear expectation problem on the special parameter space and give a necessary and sufficient condition for the existence of the solution.
Lei Gao, Dong Han
doaj   +1 more source

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