### A general note on increasing sequences.

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A general theorem concerning many absolute summability methods is proved.

In this paper we have proved a main theorem concerning the | $$\overline{N}$$ , p n; δ |k summability methods, which generalizes a result of Bor and Özarslan [3].

Four theorems of Ahmad [1] on absolute Nörlund summability factors of power series and Fourier series are proved under weaker conditions.