2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.FA2011★ 2 cited
On Koksma-Hlawka inequality
L. Brandolini, L. Colzani, G. Gigante +1
The classical Koksma Hlawka inequality does not apply to functions with simple discontinuities. Here we state a Koksma Hlawka type inequality which applies to piecewise smooth func…
math.NT2010★ 2 cited
Quadrature rules and distribution of points on manifolds
Luca Brandolini, Christine Choirat, Leonardo Colzani +3
We study the error in quadrature rules on a compact manifold. As in the Koksma-Hlawka inequality, we consider a discrepancy of the sampling points and a generalized variation of th…
math.CA2010
Optimal bounds on the modulus of continuity of the uncentered Hardy-Littlewood maximal function
J. M. Aldaz, L. Colzani, J. Pérez Lázaro
We obtain sharp bounds for the modulus of continuity of the uncentered maximal function in terms of the modulus of continuity of the given function, via integral formulas. Some of…