Sufficient conditions for triple matrices to be bounded

Abstract

The objective of the manuscript is to minimize the set of sufficient conditions for triple triangle matrices by using sequence space $A_k$ and the concept of absolutely $k^{th}$ power conservative of matrix. Hence, we gave a generalized theorem on an absolute summability factor with sufficient conditions. In this theorem, we prove the boundness of lower triangle infinite matrix (having non-zero principal diagonal entries) on $A_k^3$ i.e. T $\in B(A_k^3)$.