Asymptotics for Gegenbauer-Sobolev orthogonal polynomials associated with non-coherent pairs of measures
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IOS Press
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Resumo
Inner products of the type < f, g >(S) = < f, g >psi(0) + < f', g'>psi(1), where one of the measures psi(0) or psi(1) is the measure associated with the Gegenbauer polynomials, are usually referred to as Gegenbauer-Sobolev inner products. This paper deals with some asymptotic relations for the orthogonal polynomials with respect to a class of Gegenbauer-Sobolev inner products. The inner products are such that the associated pairs of symmetric measures (psi(0), psi(1)) are not within the concept of symmetrically coherent pairs of measures.
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Orthogonal polynomials, Sobolev orthogonal polynomials, Asymptotic
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Inglês
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Asymptotic Analysis. Amsterdam: IOS Press, v. 60, n. 1-2, p. 1-14, 2008.
