3 papers
math.CA2024
Single radius spherical cap discrepancy on compact two-point homogeneous spaces
Luca Brandolini, Bianca Gariboldi, Giacomo Gigante +1
In this note we study estimates from below of the single radius spherical discrepancy in the setting of compact two-point homogeneous spaces. Namely, given a -dimensional manifo…
math.CA2023
Summability and speed of convergence in an ergodic theorem
Leonardo Colzani, Bianca M. Gariboldi, Alessandro Monguzzi
Given an irrational vector in , a continuous function on the torus and suitable weights such that $\sum_{n=-\infty}^{+\infty}Φ(…
math.CA2022
Euler-MacLaurin summation formula on polytopes and expansions in multivariate Bernoulli polynomials
Luca Brandolini, Leonardo Colzani, Bianca Gariboldi +2
We provide a multidimensional weighted Euler--MacLaurin summation formula on polytopes and a multidimensional generalization of a result due to L. J. Mordell on the series expansio…