On Absolute Summability by Discrete Riesz Means of Type ezp(n) and Order 2

Abstract

Let ∑a_n be a given infinite series and {λ_n} a positive, monotoniq increasing sequence, diverging to infinity. We write

A_λ(w) = Asup>o_λ(w) = ∑a_n

and for r > 0,        A^r_λ ∑ (w-λ_n)^r a_n.