4 citations · 4 across the 9 of their papers we have counts for
9 papers
Sharp estimates for the covering numbers of the Weierstrass fractal kernel
K. Gonzalez, D. Azevedo, T. Jordão
In this paper, we present sharp estimates for the covering numbers of the embedding of the reproducing kernel Hilbert space (RKHS) associated with the Weierstrass fractal kernel in…
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…
An identity concerning the Riemann-zeta function
Douglas Azevedo
For a certain function we prove that the identity holds in the half-plane Re and bo…
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…
Zero-free strips for the Riemann zeta-function derived from the Prime Number Theorem
Douglas Azevedo
We use the Prime Number Theorem to prove the existence of zero-free strips for the Riemann-zeta function. Precisely, we prove that there exists for which if then…
Gaps of powers of consecutive primes and some consequences
Douglas Azevedo, Tiago Reis
Let denote the -th prime number, be a sequence of positive numbers and . In this note we prove that the inequality $$q_n p_{n+1}^{x}-q_{n+1}p_{n}…