On Quasi Statistical Convergence of Double Sequences.

In this paper we recall the definition of statistical convergence for single and double sequences. Introducing the notion of the quasi statistical convergence on double sequence we compare it with statistical convergence and give a charac- terization of quasi statistical convergence on double sequence. Furthermore we establish a decomposition theorem for quasi statistical convergence and some results are obtained relating to strong quasi summability for double sequences. [ABSTRACT FROM AUTHOR]