Convergence topologies and f-statistically Cauchy sequences

Modulus statistical convergence has already been transported to the general scope of uniform spaces.Here, the novel notion of f * -statistically Cauchy sequence is introduced and studied in uniform spaces.Certain properties are verified, in particular, the relationship between f * -statistically Cauchy sequences and f -statistically Cauchy sequences is unveiled.Finally, f -statistical limit points and fstatistical cluster points of a sequence are considered and studied, again in the general context of uniform spaces.