Tauberian theorems for Nörlund-Cesáro mean via statistically convergence in m-Normed spaces

Naim Braha; Valdete Loku; Ram Mohapatra;


In this paper, we have proved a kind of Tauberian theorems for N\"{o}rlund-Ces\'aro 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 under Hardy-type conditions.

Vol. 24 (2023), No. 3, pp. 1439-1452
DOI: 10.18514/MMN.2023.3976

Download: MMN-3976