Results 271 to 280 of about 221,630 (309)
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1995
In this chapter we present the classical moment problems as they have been mathematically defined. Moment problems are the simplest way to describe inverse problems mathematically. These problems were originally posed with moments being integrals of monomials. Such moment problems are ill-posed, and present considerable computational difficulty. On the
Marek A. Kowalski +2 more
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In this chapter we present the classical moment problems as they have been mathematically defined. Moment problems are the simplest way to describe inverse problems mathematically. These problems were originally posed with moments being integrals of monomials. Such moment problems are ill-posed, and present considerable computational difficulty. On the
Marek A. Kowalski +2 more
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The K-moment problem with densities
Mathematical Programming, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematics Magazine, 1971
Suppose that a rigid rod of unit mass and unit length is allowed to oscillate in a plane as a pendulum about one end as the point of suspension. If c is a given real number, is it possible to prescribe the mass distribution of the rod (call it f(x)) so that (i) f is a continuous function on [0, 1], (ii) the center of mass is c distant from the point of
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Suppose that a rigid rod of unit mass and unit length is allowed to oscillate in a plane as a pendulum about one end as the point of suspension. If c is a given real number, is it possible to prescribe the mass distribution of the rod (call it f(x)) so that (i) f is a continuous function on [0, 1], (ii) the center of mass is c distant from the point of
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Stieltjes moment problem via fractional moments
Applied Mathematics and Computation, 2005The authors extend a procedure for the reconstruction of probability density function from the knowledge of its infinite sequence of ordinary moments [cf. the authors, ibid. 144, No. 1, 61--74 (2003; Zbl 1029.44003)] from the case of distributions with finite positive support (Hausdorff case) to the case where the distribution has \([0,\infty ...
Novi Inverardi, Pier Luigi +3 more
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1943
This book was first published in 1943 and then was reprinted several times with corrections. It presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. In addition to initial developments by Stieltjes, Markov, and Chebyshev, later contributions by Hamburger, Nevanlinna ...
J. Shohat, J. Tamarkin
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This book was first published in 1943 and then was reprinted several times with corrections. It presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. In addition to initial developments by Stieltjes, Markov, and Chebyshev, later contributions by Hamburger, Nevanlinna ...
J. Shohat, J. Tamarkin
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Mathematical Proceedings of the Cambridge Philosophical Society, 1949
1. The problem in question is to find a necessary and sufficient condition which numbers co, …, cm must satisfy in order that there shall be a non-decreasing function σ(t) such thatwhere (a, b) is an unbounded interval. (When (a, b) is a bounded interval, the problem has been solved.
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1. The problem in question is to find a necessary and sufficient condition which numbers co, …, cm must satisfy in order that there shall be a non-decreasing function σ(t) such thatwhere (a, b) is an unbounded interval. (When (a, b) is a bounded interval, the problem has been solved.
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Statistics & Probability Letters, 1997
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On the Relation between the Scalar Moment Problem and the Matrix Moment Problem on *-Semigroups
Semigroup Forum, 2004The author presents an example of a commutative \(*\)-semigroup with identity which is semiperfect of order~\(1\) but not of order~\(2\). Here, a commutative \(*\)-semigroup \(S\) is called semiperfect of order \(d\) (where \(d\) is a positive integer) if every matrix-valued function \(f: S\to M_d({\mathbb C})\) of positive type is of the form \(f(s ...
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Hausdorff moment problem and fractional moments: A simplified procedure
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Recursiveness approach to multi-dimensional moment problems
Annals of Functional Analysis, 2021E H Zerouali
exaly