SOME NOTES ON MATRIX TRANSFORMS OF SUMMABILITY DOMAINS OF CESÀRO MATRICES

Abstract

In this paper sufficient conditions for a matrix M = (mnk ) (mnk are Cesàro numbers As n‐k, s ∈ C if k ≤ n and mnk= 0 if k > n) to be a transform from the summability domain of the Cesàro method Cα into the summability domain of another Cesàro method Cβ , where α, β ∈ C\{-1, -2,…}, are found.