On a moment problem associated with Chebyshev polynomials
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Undergraduate course
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Elsevier B.V.
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Article
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Abstract
Given a sequence {mu(n)}(n-0)(infinity) of real numbers, we find necessary and sufficient conditions for the existence and uniqueness of a distribution function phi on (1, infinity), such thatmu(n) = integral(infinity)(1) T-n(x)d phi(x), n = 0, 1, 2, ...Here T-n(x) are the Chebyshev polynomials of the first kind. (C) 2012 Elsevier B.V. All rights reserved.
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Keywords
Moment problem, Szego polynomials on the real line, Chebyshev polynomial, Hankel determinants
Language
English
Citation
Applied Mathematics and Computation. New York: Elsevier B.V., v. 218, n. 18, p. 9571-9574, 2012.
