Extension of the sets of f-statistical convergence and strong f-Cesaro convergence by moduli and double set sequences

In this paper, we extend the concept of f-density to f-double natural density of a subset of N  N where f is an unbounded modulus function. We explore the notion of f-statistical convergence, and strongly f-Cesaro summability defned by modulus f by f-double natural density. In this article, we also give some inclusion relations between f-statistical convergence and strongly f-Cesaro summability with respect to modulus f for double sequence of sets in the Wijsman sense.