Some Theorems on Absolute Norlund Summability

Abstract

Let Σ a_n be a given infinite series, with {S_n} as the sequence of nth partial sums. Let {p_n} be a sequence of constants, real or complex, and we write

P_n = P₀ + P₁ + .... + P_n; P-1 = P-1 = 0.

The sequence-to-sequence transformation.