Article ID Journal Published Year Pages File Type
4630250 Applied Mathematics and Computation 2012 4 Pages PDF
Abstract

Given a sequence {μn}n=0∞ of real numbers, we find necessary and sufficient conditions for the existence and uniqueness of a distribution function ϕϕ on (1,∞)(1,∞), such thatμn=∫1∞Tn(x)dϕ(x),n=0,1,2,….Here Tn(x)Tn(x) are the Chebyshev polynomials of the first kind.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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On a moment problem associated with Chebyshev polynomials
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