Bor, H.; Özarslan, H. S. On the quasi power increasing sequences. (English) Zbl 1018.40003 J. Math. Anal. Appl. 276, No. 2, 924-929 (2002). 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)]. Reviewer: Sushil Sharma (Ujjain) Cited in 1 ReviewCited in 9 Documents MSC: 40D15 Convergence factors and summability factors 40F05 Absolute and strong summability 40A05 Convergence and divergence of series and sequences Citations:Zbl 0885.40004; Zbl 0980.40004 PDFBibTeX XMLCite \textit{H. Bor} and \textit{H. S. Özarslan}, J. Math. Anal. Appl. 276, No. 2, 924--929 (2002; Zbl 1018.40003) Full Text: DOI References: [1] Aljancic, S.; Arandelovic, D., \(O\)-regularly varying functions, Publ. Inst. Math., 22, 5-22 (1977) · Zbl 0379.26003 [2] Bor, H., On two summability methods, Math. Proc. Cambridge Philos. Soc., 97, 147-149 (1985) · Zbl 0554.40008 [3] Bor, H., On absolute summability factors for \(|N̄,pn|k\) summability, Comment. Math. Univ. Carolin., 32, 435-439 (1991) · Zbl 0745.40005 [4] Bor, H., A note on absolute summability factors, Internat. J. Math. Math. Sci., 17, 479-482 (1994) · Zbl 0802.40004 [5] Flett, T. M., On an extension of absolute summability and some theorems of Littlewood and Paley, Proc. London Math. Soc., 7, 113-141 (1957) · Zbl 0109.04402 [6] Leindler, L., A new application of quasi power increasing sequences, Publ. Math. Debrecen, 58, 791-796 (2001) · Zbl 0980.40004 [7] Mazhar, S. M., A note on absolute summability factors, Bull. Inst. Math. Acad. Sinica, 25, 233-242 (1997) · Zbl 0885.40004 [8] Mishra, K. N.; Srivastava, R. S.L., On a absolute Cesàro summability factors of infinite series, Portugal. Math., 42, 53-61 (1983) · Zbl 0597.40003 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.