On the absolute Nörlund summability factors (Q2708493)

Replacing the concept of a positive non-decreasing sequence considered by \textit{H. Bor} [Absolute Nörlund summability factors of power series and Fourier series, Ann. Pol. Math. 56, No. 1, 11-17 (1991; Zbl 0749.40005)] by the concept of an almost increasing sequence the author establishes a result for \(|N,p_n|\) summability. The author extends his own result. This result can be further extended in the lines of \textit{L. Leindler} [A new application of quasi power increasing sequences, Publ. Math. 58, No. 4 791-796 (2001; Zbl 0980.40004)] for the class of quasi \(\beta\)-power increasing sequences, which is a wider class.