On statistical convergence of difference sequences of fractional order

What is it about?

Prior to investigating on sequence spaces and their convergence, we study the notion of statistical convergence of difference sequences of fractional order . As generalizations of previous works, this study includes several special cases under different limiting conditions of α, such as the notion of statistical convergence of difference sequences of zeroth and mth (integer) order. In fact, we study certain new results on statistical convergence via the difference operator Δα and interpret them to those of previous works.

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Why is it important?

Given results in this article not onlyn generalize the earlier works done by several authors but also give a new perspective concerning the development of statistical convergence of fractional order difference sequence and Korovkin type approximation for positive linear operators.

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