Buscar
Mostrando ítems 1-10 de 53
Zeros of Gegenbauer-Sobolev Orthogonal Polynomials: Beyond Coherent Pairs
(Springer, 2009-01-01)
Iserles et al. (J. Approx. Theory 65: 151-175, 1991) introduced the concepts of coherent pairs and symmetrically coherent pairs of measures with the aim of obtaining Sobolev inner products with their respective orthogonal ...
Zeros of Gegenbauer-Sobolev Orthogonal Polynomials: Beyond Coherent Pairs
(Springer, 2009-01-01)
Iserles et al. (J. Approx. Theory 65: 151-175, 1991) introduced the concepts of coherent pairs and symmetrically coherent pairs of measures with the aim of obtaining Sobolev inner products with their respective orthogonal ...
Zeros of Gegenbauer and Hermite polynomials and connection coefficients
(Amer Mathematical Soc, 2004-01-01)
In this paper, sharp upper limit for the zeros of the ultraspherical polynomials are obtained via a result of Obrechkoff and certain explicit connection coefficients for these polynomials. As a consequence, sharp bounds ...
Zeros of Gegenbauer and Hermite polynomials and connection coefficients
(Amer Mathematical Soc, 2004-01-01)
In this paper, sharp upper limit for the zeros of the ultraspherical polynomials are obtained via a result of Obrechkoff and certain explicit connection coefficients for these polynomials. As a consequence, sharp bounds ...
Zeros of Gegenbauer and Hermite polynomials and connection coefficients
(Amer Mathematical Soc, 2014)
Matrix-Valued Gegenbauer-Type polynomials
(Springer, 2017-12)
We introduce matrix-valued weight functions of arbitrary size, which are analogues of the weight function for the Gegenbauer or ultraspherical polynomials for the parameter ν> 0. The LDU-decomposition of the weight is ...
Asymptotics for Gegenbauer-Sobolev orthogonal polynomials associated with non-coherent pairs of measures
(IOS Press, 2008-01-01)
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 ...
Asymptotics for Gegenbauer-Sobolev orthogonal polynomials associated with non-coherent pairs of measures
(IOS Press, 2008-01-01)
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 ...