Otro
On a moment problem associated with Chebyshev polynomials
Registro en:
Applied Mathematics and Computation. New York: Elsevier B.V., v. 218, n. 18, p. 9571-9574, 2012.
0096-3003
10.1016/j.amc.2012.03.039
WOS:000302992700051
Autor
Castillo, K.
Lamblem, R. L.
Ranga, Alagacone Sri
Resumen
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. Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)