A. Peña

activity

19922018

most citedOrthogonal polynomials generated by a linear structure relation: Inverse problem

13 citations · 38 across the 13 of their papers we have counts for

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math.CA2018

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 $(P_{n})_{n}$ and $(Q_{n})_{n}$ which are connected by a linear algebraic…

math.CA2014★ 1 cited

Connection formulas for general discrete Sobolev polynomials. Mehler-Heine asymptotics

A. Peña, M. L. Rezola

In this paper the discrete Sobolev inner product $< p, q >= \int p (x) q (x) d μ + i = 0 \sum r M_{i} p^{(i)} (c) q^{(i)} (c)$ is considered, where $μ$ is a finite positive Borel…

math.CA2014★ 4 cited

Discrete Entropy of Generalized Jacobi Polynomials

Andrei Martinez-Finkelshtein, Paul Nevai, Ana Peña

Given a sequence of orthonormal polynomials on $R$ , ${p_{n}}_{n \geq 0}$ , with $p_{n}$ of degree $n$ , we define the discrete probability distribution $Ψ_n(x) = \left(Ψ_{n,1}(x), \…

math.CA2013★ 6 cited

On linearly related orthogonal polynomials in several variables

M. Alfaro, A. Peña, T. E. Pérez +1

Let ${P_{n}}_{n \geq 0}$ and ${Q_{n}}_{n \geq 0}$ be two monic polynomial systems in several variables satisfying the linear structure relation $$\mathbb{Q}_n = \math…

math.CA2012★ 13 cited

Orthogonal polynomials generated by a linear structure relation: Inverse problem

M. Alfaro, A. Peña, J. Petronilho +1

Let $(P_{n})_{n}$ and $(Q_{n})_{n}$ be two sequences of monic polynomials linked by a type structure relation such as $Q_{n} (x) + r_{n} Q_{n - 1} (x) = P_{n} (x) + s_{n} P_{n - 1} (x) + t_{n} P_{n - 2} (x),$ w…

math.CA2011★ 7 cited

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 $L^{p}$ spaces. In this paper, we get a Cohen type inequality for the Fo…