N. Romero

activity

20142024

collaborators

4 papers

math.FA2024

Powers of Catalan generating functions for bounded operators

Pedro J. Miana, Natalia Romero

Let $c = (C_{n})_{n \geq 0}$ be the Catalan sequence and $T$ a linear and bounded operator on a Banach space $X$ such $4 T$ is a power-bounded operator. The Catalan generating function is…

math.FA2024

Catalan generating functions for bounded operators

Pedro J. Miana, Natalia Romero

In this paper we study the solution of the quadratic equation $T Y^{2} - Y + I = 0$ where $T$ is a linear and bounded operator on a Banach space $X$ . We describe the spectrum set and the re…

math.NT2016

Sums of powers of Catalan triangle numbers

Pedro J. Miana, Hideyuki Ohtsuka, Natalia Romero

In this paper we consider combinatorial numbers $C_{m, k}$ for $m \geq 1$ and $k \geq 0$ which unifies the entries of the Catalan triangles $B_{n, k}$ and $A_{n, k}$ for appropriate…

math.CA2014

Quadrature rules for $L^{1}$ -weighted norms of orthogonal polynomials

Luciano Abadias, Pedro J. Miana, Natalia Romero

In this paper we obtain $L^{1}$ -weighted norms of classical orthogonal polynomials (Hermite, Laguerre and Jacobi polynomials) in terms of the zeros of these orthogonal polynomials; t…

Powers of Catalan generating functions for bounded operators

Catalan generating functions for bounded operators

Sums of powers of Catalan triangle numbers

Quadrature rules for L1-weighted norms of orthogonal polynomials

Quadrature rules for $L^{1}$ -weighted norms of orthogonal polynomials