Results 11 to 20 of about 2,268,267 (281)
On the Moment Problem and Related Problems
Mathematics, 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
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Random Moment Problems under Constraints [PDF]
The Annals of Probability, 2018 We investigate moment sequences of probability measures on $E\subset\mathbb{R}$ under constraints of certain moments being fixed. This corresponds to studying sections of $n$-th moment spaces, i.e. the spaces of moment sequences of order $n$.
Dette, Holger +2 more
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Applying the Moment Generating Functions to the Study of Probability Distributions [PDF]
Informatică economică, 2007 In this paper, we describe a tool to aid in proving theorems about random variables, called the moment generating function, which converts problems about probabilities and expectations into problems from calculus about function values and derivates.
Silvia SPATARU
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On certain non-unique solutions of the Stieltjes moment problem [PDF]
Discrete Mathematics & Theoretical Computer Science, 2010 We construct explicit solutions of a number of Stieltjes moment problems based on moments of the form ${\rho}_{1}^{(r)}(n)=(2rn)!$ and ${\rho}_{2}^{(r)}(n)=[(rn)!]^{2}$, $r=1,2,\dots$, $n=0,1,2,\dots$, \textit{i.e.} we find functions $W^{(r)}_{1,2}(x)>0$
K. A. Penson +4 more
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The multidimensional truncated moment problem: The moment cone [PDF]
Journal of Mathematical Analysis and Applications, 2022 1 figure, 3 ...
di Dio, P., Schmüdgen, K.
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Hankel and Toeplitz operators: continuous and discrete representations [PDF]
Opuscula 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
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On the Truncated Multidimensional Moment Problems in
Axioms, 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
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On the sufficiency of K-positivity for truncated compactly supported generalized moment problems
Examples 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
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A Moment Method for the Second Order Two-point Boundary Value Problems [PDF]
Engineering 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
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MOMENT PROBLEMS IN WEIGHTED \(L^2\) SPACES ON THE REAL LINE
Ural 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
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