Abstract.

Study of difference sequences is a recent development in summability theory. Some times, we may have a sequence at hand and be interested in the sequences formed by its suc cessive differences and the structure of these new sequences. Studies on difference sequences were introduced in the 1980s, and since then many mathematicians have studied such sequences and developed various generalized difference sequence spaces. In this paper, using the general ized difference operator ∆n m, we introduce the concept of ∆n m−deferred statistical convergence of order α and establish some inclusion relations between the spaces ∆n m−deferred statistical convergence of order α and ∆n m−statistical convergence of order α. Our results generalize the corresponding results available in the existing literature.

Keywords:

difference, sequence, deferred, statistical convergence, deferred statistically Cauchy