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On some new applications of power increasing sequences. (English) Zbl 1183.40005
Summary: A result dealing with $|\overline{N},{p}_{n}{|}_{k}$ summability is generalized to $|\overline{N},{p}_{n},{\theta }_{n}{|}_{k}$ summability factors under weaker conditions. Also some new results have obtained.

##### MSC:
 40D15 Convergence factors; summability factors
##### References:
 [1] Bor, H.: On two summability methods, Math. proc. Cambridge philos. Soc. 97, 147-149 (1985) [2] Bor, H.: On the relative strength of two absolute summability methods, Proc. amer. Math. soc. 113, 1009-1012 (1991) · Zbl 0743.40007 · doi:10.2307/2048776 [3] Bor, H.: A study on weighted mean summability, Rend. circ. Mat. Palermo (2) 56, 198-206 (2007) · Zbl 1135.40004 · doi:10.1007/BF03031439 [4] 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 · doi:10.1112/plms/s3-7.1.113 [5] Mazhar, S. M.: Absolute summability factors of infinite series, Kyungpook math. J. 39, 67-73 (1999) · Zbl 0932.40006 [6] Sulaiman, W. T.: On some summability factors of infinite series, Proc. amer. Math. soc. 115, 313-317 (1992) · Zbl 0756.40006 · doi:10.2307/2159247