Matrix Transforms of $A$-Statistically Convergent Sequences With Speed

Ants Aasma

Let $X$, $Y$ be sequence spaces and $(X,Y)$ the set of all matrices mapping $X$ and $Y$. Let $A$ be a non-negative regular matrix and $\lambda$ a speed, i.e. a positive monotonically increasing sequence. In this paper the notion of $A$-statistical convergence with speed $\lambda$ is introduced and the class of matrices $(st_A^\lambda\cap X,Y)$, where $st_A^\lambda$ is the set of all $A$-statistically convergent sequences with speed $\lambda$, is described.