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 An-ks, 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. © Vilnius Gediminas Technical University, 2010.