Mario Pérez

activity

19952026

most citedWeighted norm inequalities for polynomial expansions associated to some measures with mass points

12 citations · 25 across the 4 of their papers we have counts for

collaborators

5 papers

math.GM2026

Zeros of GKP sequences of polynomials

Antonio J. Durán, Mario Pérez, Juan L. Varona

Given two sequences $ϕ = (ϕ_{i})_{i \geq 1}$ and $ψ = (ψ_{i})_{i \geq 1}$ and numbers $a, b, c$ , we introduce the GKP sequence of polynomials $(p_{n})_{n}$ using the following recurrence formula: $p…

math.CA2016

Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions

Óscar Ciaurri, Antonio J. Durán, Mario Pérez +1

We introduce Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials as generalizations of Bernoulli and Apostol-Euler polynomials, where the role of the derivative is now played by th…

math.FA2010★ 10 cited

Mean convergence of Fourier-Dunkl series

Ó. Ciaurri, M. Pérez, J. M. Reyes +1

In the context of the Dunkl transform a complete orthogonal system arises in a very natural way. This paper studies the weighted norm convergence of the Fourier series expansion as…

math.FA2005★ 3 cited

Heat and Poisson semigroups for Fourier-Neumann expansions

J. J. Betancor, O. Ciaurri, T. Martínez +3

Given $α > - 1$ , consider the second order differential operator in $(0, \infty)$ , $L_{α} f \equiv (x^{2} \frac{d ^{2}}{d x ^{2}} + (2 α + 3) x \frac{d}{d x} + x^{2} + (α + 1)^{2}) (f),$ which appears in…

math.CA1995★ 12 cited

Weighted norm inequalities for polynomial expansions associated to some measures with mass points

José J. Guadalupe, Mario Pérez, Francisco J. Ruiz +1

Fourier series in orthogonal polynomials with respect to a measure $ν$ on $[- 1, 1]$ are studied when $ν$ is a linear combination of a generalized Jacobi weight and finitely many Dir…