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Now showing items 1-10 of 78

#### Multivariate **sobolev**-type **orthogonal** **polynomials**

(2011-12-01)

Multivariate orthogonal polynomials associated with a Sobolev-type inner product, that is, an inner product defined by adding to a measure the evaluation of the gradients in a fixed point, are studied. Orthogonal polynomials ...

#### Multivariate **sobolev**-type **orthogonal** **polynomials**

(2011-12-01)

Multivariate orthogonal polynomials associated with a Sobolev-type inner product, that is, an inner product defined by adding to a measure the evaluation of the gradients in a fixed point, are studied. Orthogonal polynomials ...

#### Zeros of Jacobi-**Sobolev** **orthogonal** **polynomials** following non-coherent pair of measures

(2010-12-14)

Zeros of orthogonal polynomials associated with two different Sobolev inner products involving the Jacobi measure are studied. In particular, each of these Sobolev inner products involves a pair of closely related Jacobi ...

#### Zeros of Jacobi-**Sobolev** **orthogonal** **polynomials** following non-coherent pair of measures

(2010-12-14)

Zeros of orthogonal polynomials associated with two different Sobolev inner products involving the Jacobi measure are studied. In particular, each of these Sobolev inner products involves a pair of closely related Jacobi ...

#### New steps on **Sobolev** **orthogonality** in two variables

(Elsevier B.V., 2010-12-15)

Sobolev orthogonal polynomials in two variables are defined via inner products involving gradients. Such a kind of inner product appears in connection with several physical and technical problems. Matrix second-order partial ...

#### A class of **Sobolev** **orthogonal** **polynomials** on the unit circle and associated continuous dual Hahn **polynomials**: Bounds, asymptotics and zeros

(2021-08-01)

This paper deals with orthogonal polynomials and associated connection coefficients with respect to a class of Sobolev inner products on the unit circle. Under certain conditions on the parameters in the inner product it ...

#### Monotonicity and asymptotics of zeros of Laguerre-**Sobolev**-type **orthogonal** **polynomials** of higher order derivatives

(2011-11-01)

In this paper we analyze the location of the zeros of polynomials orthogonal with respect to the inner product where α >-1, N ≥ 0, and j ∈ N. In particular, we focus our attention on their interlacing properties with respect ...

#### 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 ...