Deferred f-Statistical Convergence of Generalized Difference Sequences of Order α

Studies on difference sequences was introduced in the 1980s and then many mathematicians studied on these kind of sequences and obtained some generalized difference sequence spaces. In this paper, using the generalized difference operator, we introduce the concept of deferred $f-$statistical convergence of generalized difference sequences of order $\alpha$ and give some inclusion relations between deferred $f-$statistical convergence of generalized difference sequences and deferred $f-$statistical convergence of generalized difference sequences of order $\alpha$. Our results are more general than the corresponding results in the existing literature.