Some Tauberian Theorems under Triple Statistically Nörlund-Cesáro Summability Method

Abstract

In this paper, we extend the notion presented by Braha (2020) in a higher dimension, we introduce the notion of Np,qn,m,gCn,m,g1,1,1-statistically convergence and show necessity and sufficiency conditions under which the existence of the limit st-limn,m,g→∞xn,m,g=L follows from that st-limn,m,g→∞Np,qn,m,gCn,m,g1,1,1=L. These conditions are one-sided or two-sided if xn,m,g is a sequence of real or complex numbers, respectively.