D. Azevedo

activity

20142023

most citedSharp estimates for the covering numbers of the Weierstrass fractal kernel

4 citations · 4 across the 9 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.FA2021

Sharp estimates for the covering numbers of the Weierstrass fractal kernel

Douglas Azevedo, Karina Gonzalez, Thais Jordão

In this paper, we use the infamous continuous and nowhere differentiable Weierstrass function as a prototype to define a Weierstrass fractal kernel. We investigate the properties o…

math.NT2021

An identity concerning the Riemann-zeta function

Douglas Azevedo

For a certain function $J (s)$ we prove that the identity $\frac{ζ ( 2 s )}{ζ ( s )} - (s - \frac{1}{2}) J (s) = \frac{ζ ( 2 s + 1 )}{ζ ( s + 1/2 )},$ holds in the half-plane Re $(s) > 1/2$ and bo…

math.CA2021

Summability characterizations of positive sequences

Douglas Azevedo, Thiago P. Andrade

In this paper, we propose extensions for the classical Kummer test, which is a very far-reaching criterion that provides sufficient and necessary conditions for convergence and div…