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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   +2 more sources

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

open access: yesJournal of Mathematical Analysis and Applications, 2022
1 figure, 3 ...
di Dio, P., Schmüdgen, K.
openaire   +4 more sources

Hankel and Toeplitz operators: continuous and discrete representations [PDF]

open access: yesOpuscula Mathematica, 2017
We find a relation guaranteeing that Hankel operators realized in the space of sequences \(\mathcal{l}^2 (\mathbb{Z}_{+})\) and in the space of functions \(L^2 (\mathbb{R}_{+})\) are unitarily equivalent.
Dmitri R. Yafaev
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

On the sufficiency of K-positivity for truncated compactly supported generalized moment problems

open access: yesExamples and Counterexamples, 2021
Given a compact set K and a finite set of continuous basis functions, the truncated generalized K-moment problem asks for a characterization of all sequences that can be obtained as moments, with respect to the basis functions, of some nonnegative ...
Axel Ringh
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

A Moment Method for the Second Order Two-point Boundary Value Problems [PDF]

open access: yesEngineering and Technology Journal, 2010
In this paper a Moment method based on the second, third and fourth kindChebyshev polynomials is proposed to approximate the solution of a linear twopointboundary value problem of the second order.
Ahmed M. Shokr   +2 more
doaj   +1 more source

Wearable Inertial Sensors-based Joint Kinetics Estimation of Lower Extremity Using a Recurrent Neural Network [PDF]

open access: yes한국정밀공학회지, 2023
Recently, the estimation of joint kinetics such as joint force and moment using wearable inertial sensors has received great attention in biomechanics. Generally, the joint force and moment are calculated though inverse dynamics using segment kinematic ...
Ji Seok Choi   +2 more
doaj   +1 more source

MOMENT PROBLEMS IN WEIGHTED \(L^2\) SPACES ON THE REAL LINE

open access: yesUral Mathematical Journal, 2020
For a class of sets with multiple terms $$ \{\lambda_n,\mu_n\}_{n=1}^{\infty}:=\{\underbrace{\lambda_1,\lambda_1,\dots,\lambda_1}_{\mu_1 - times}, \underbrace{\lambda_2,\lambda_2,\dots,\lambda_2}_{\mu_2 - times},\dots, \underbrace{\lambda_k,\lambda_k ...
Elias Zikkos
doaj   +1 more source

Low power control for magnetically suspended control moment gyro based on current adaptive adjustment‐gimbal angular velocity feedforward method

open access: yesIET Electric Power Applications, 2022
Magnetically suspended control moment gyro (MSCMG) outputs gyro moment by changing the direction of the rotor angular momentum to adjust the spacecraft attitude.
Jinji Sun, Jiye Zhao
doaj   +1 more source

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