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On the Hausdorff and Trigonometric Moment Problems
Canadian Journal of Mathematics, 1961Let K be a subset of BV(0, 1)—the space of functions of bounded variation on the closed interval [0, 1]. By the Hausdorff moment problem for K we shall mean the determination of necessary and sufficient conditions that corresponding to a given sequence μ = {μn|n = 0, 1, 2, …} there should be a function α ∈ K so that(1)For various collections K this ...
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On the Hausdorff Moment Problem
1978New necessary and sufficient conditions for solutions of the Hausdorff moment problem are presented.
A. Jakimovski, D. C. Russell
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Generalized Hausdorff inverse moment problem
Physica A: Statistical Mechanics and its Applications, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pintarelli, María B., Vericat, Fernando
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Moment Problems and Quasi-Hausdorff Transformations
Canadian Mathematical Bulletin, 1968The sequence to sequence quasi - Hausdorff transformations were defined by Hardy [1] 1 1. 19 p. 277 as follows. For a given sequence {μn} (n ≥ 0) of real or complex numbers, define the operator Δ by for k > l. {tm} (m ≥ 0) is called the sequence to sequence quasi-Hausdorff transform by means of {μn} (or, in short, the [QH, μn] transform) of {sn} (n
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Hausdorff moment problem: Reconstruction of probability density functions
Statistics & Probability Letters, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hausdorff moments in two-dimensional inverse acoustic problems
Inverse Problems, 1997The authors show how to use inverse spectral data for the operator \(a\Delta u\) to approximate moments of the coefficient \(a(x)\). They consider the two-dimensional case and give examples of numerical reconstruction. They analyze stability of reconstruction in standard functional classes.
Kurylev, Y. V., Peat, K. S.
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Hausdorff moment problem: Recovery of an unknown support for a probability density function
Journal of Inverse and Ill-posed Problems, 2016Abstract In this work the following problem is discussed: Unknown are two objects, a probability density (corresponding to a distribution, or to a probability measure) f and its support supp
Kazemi, Amir +2 more
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On Hausdorff and related moment problems
Publicationes Mathematicae Debrecen, 2022Jakimovski, Amnon +2 more
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4. The Hausdorff moment problem: regularization and error estimates
20024.1 Finite moment approximation of (4.1) 4.1.1 Proof of Theorem 4.1. 4.1.2 Proof of Theorem 4.2.
Dang Dinh Ang +3 more
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the Hausdorff and Hamburger One-Dimensional Moment Problems.
1957This item was digitized as part of a project to share McGill's intellectual legacy with the public. If you are the copyright holder or a relative of the copyright holder who is deceased, you may request withdrawal by emailing escholarship.library@mcgill.ca.
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