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On the quasi power increasing sequences. (English) Zbl 1018.40003

The authors establish results about \(|\overline N,p_n |_k\) summability, for \(k \geq 1\), by replacing the concept of “almost increasing sequences” considered by S. M. Mazhar [Bull. Inst. Math., Acad. Sin. 25, 233–242 (1997; Zbl 0885.40004)] by the notion of quasi-power increasing sequences, introduced by L. Leindler [Publ. Math. 58, 791–796 (2001; Zbl 0980.40004)].

MSC:

40D15 Convergence factors and summability factors
40F05 Absolute and strong summability
40A05 Convergence and divergence of series and sequences
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References:

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