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Mixed orthogonality on the unit ball
(2021-12-01)
We consider multivariate functions satisfying mixed orthogonality conditions with respect to a given moment functional. This kind of orthogonality means that the product of functions of different parity order is computed ...
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 ...
A class of orthogonal functions given by a three term recurrence formula
(2016-01-01)
We present a class of functions satisfying a certain orthogonality property for which there also exists a three term recurrence formula. This class of functions, which can be considered as an extension to the class of ...
Kernel polynomials from L-orthogonal polynomials
(2011-05-01)
A positive measure ψ defined on [a,b] such that its moments μn=∫a btndψ(t) exist for n=0,±1,±2,⋯, is called a strong positive measure on [a,b]. If 0≤a<b≤∞ then the sequence of (monic) polynomials {Qn}, defined by ∫a ...
Kernel polynomials from L-orthogonal polynomials
(2011-05-01)
A positive measure ψ defined on [a,b] such that its moments μn=∫a btndψ(t) exist for n=0,±1,±2,⋯, is called a strong positive measure on [a,b]. If 0≤a<b≤∞ then the sequence of (monic) polynomials {Qn}, defined by ∫a ...
Orthogonal polynomials and Mobius transformations
(Springer, 2021-09-01)
Given an orthogonal polynomial sequence on the real line, another sequence of polynomials can be found by composing them with a Mobius transformation. In this work, we study the properties of such Mobius-transformed ...
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 ...
Perturbations on the antidiagonals of Hankel matrices
(2013-08-12)
Given a strongly regular Hankel matrix, and its associated sequence of moments which defines a quasi-definite moment linear functional, we study the perturbation of a fixed moment, i.e., a perturbation of one antidiagonal ...