13 citations · 34 across the 10 of their papers we have counts for
10 papers
The inverse problem for linearly related orthogonal polynomials: General case
A. Peña, M. L. Rezola
We study the inverse problem in the theory of (standard) orthogonal polynomials involving two polynomials families and which are connected by a linear algebraic…
Connection formulas for general discrete Sobolev polynomials. Mehler-Heine asymptotics
A. Peña, M. L. Rezola
In this paper the discrete Sobolev inner product is considered, where is a finite positive Borel…
On linearly related orthogonal polynomials in several variables
M. Alfaro, A. Peña, T. E. Pérez +1
Let and be two monic polynomial systems in several variables satisfying the linear structure relation $$\mathbb{Q}_n = \math…
Orthogonal polynomials generated by a linear structure relation: Inverse problem
M. Alfaro, A. Peña, J. Petronilho +1
Let and be two sequences of monic polynomials linked by a type structure relation such as w…
Discrete Laguerre-Sobolev expansions: A Cohen type inequality
A. Peña, M. L. Rezola
C. Markett proved a Cohen type inequality for the classical Laguerre expansions in the appropriate weighted spaces. In this paper, we get a Cohen type inequality for the Fo…
A new approach to the asymptotics for Sobolev orthogonal polynomials
M. Alfaro, J. J. Moreno-Balcazar, A. Pena +1
In this paper we deal with polynomials orthogonal with respect to an inner product involving derivatives, that is, a Sobolev inner product. Indeed, we consider Sobolev type polynom…