  We study the concept of density for sets of natural numbers in some lacunary
$A$-convergent sequence spaces. Also we are trying to investigate some relation
between the ordinary convergence and module statistical convergence for evey
unbounded modulus function. Morever we also study some results on the newly
defined lacunary $f$-statistically $A$-convergent sequence spaces with respect
to some Musielak-Orlicz function.
