37 citations · 81 across the 6 of their papers we have counts for
6 papers
The computation of , and beyond by using telescoping series
Óscar Ciaurri, Luis M. Navas, Francisco J. Ruiz +1
We present some simple proofs of the well-known expressions for \[ ζ(2k) = \sum_{m=1}^\infty \frac{1}{m^{2k}}, \qquad β(2k+1) = \sum_{m=0}^\infty \frac{(-1)^m}{(2m+1)^{2k+1}}, \] w…
Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
Ó. Ciaurri, L. Roncal, P. R. Stinga +2
The analysis of nonlocal discrete equations driven by fractional powers of the discrete Laplacian on a mesh of size \[ (-Δ_h)^su=f, \] for , $0…
A simple computation of by using Bernoulli polynomials and a telescoping series
Ó. Ciaurri, L. M. Navas, F. J. Ruiz +1
We present a new proof of Euler's formulas for , where , which uses only the defining properties of the Bernoulli polynomials, obtaining the value of …
Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials
Luis M. Navas, Francisco J. Ruiz, Juan L. Varona
We analyze the asymptotic behavior of the Apostol-Bernoulli polynomials in detail. The starting point is their Fourier series on which, it is shown,…
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 on are studied when is a linear combination of a generalized Jacobi weight and finitely many Dir…
Interpolation of operators when the extreme spaces are
Jesús Bastero, Francisco J. Ruiz
In this paper, equivalence between interpolation properties of linear operators and monotonicity conditions are studied, for a pair of rearrangement invariant quasi Ban…