A NOTE ON MORE RAPID CONVERGENCE TO A DENSITY
The aim of this paper is to answer an open problem proposed by Giuliano et al. [3]. A set Aof positive integers is constructed with the following properties:
(a) A has asymptotic density d and therefore logarithmic density d,
(b) the sequence does not tend to 0 on the mean more rapidly than the sequence
asymptotic density, logarithmic density, weighted density.
