TAUBERIAN THEOREMS FOR NÖRLUND-CESÁRO MEAN VIA STATISTICALLY CONVERGENCE IN m-NORMED SPACES.

In this paper, we have proved certain kinds of Tauberian theorems for Nörlund-Cesáro summability methods in m-normed space X in statistically sense. We give necessary and sufficient Tauberian condition for this method of summability, in statistically sense. Also, we prove that Tauberian theorems under these summability methods are valid under oscillating slow condition of Schmidt-type and Hardy-type conditions. [ABSTRACT FROM AUTHOR]