New application of power increasing sequences

[1] S. Aljancic and D. Arandelovic, O-regularly varying functions, Publ. Inst.
Math., 22 (1977), 5-22.
[2] H. Bor, A note on two summability methods, Proc. Amer. Math. Soc., 98
(1986), 81-84.
[3] H. Bor, A note on | ¯N , pn |k summability factors of infinite series, Indian
J. Pure Appl. Math. 18 (1987), 330-336.
[4] H. Bor, On the relative strength of two absolute summability methods,
Proc. Amer. Math. Soc., 113 (1991), 1009-1012.
[5] H. Bor, A general note on increasing sequences, J. Inequal. Pure
Appl.Math., 8 (2007), Article 82 , (electronic).
[6] T. M. Flett, On an extension of absolute summability and some theorems
of Littlewood and Paley, Proc. London Math. Soc., 7 (1957), 113-141.
[7] G. H. Hardy, Divergent Series, Oxford Univ. Press., Oxford, (1949).
[8] E. Kogbetliantz, Sur les s´eries absolument par la m´ethode des moyannes
arithm´etiques, Bull. Sci. Math., 49 (1925), 234-256.
[9] L. Leindler, A new application of quasi power increasing sequences, Publ.
Math. Debrecen, 58 (2001), 791-796.
[10] K. N. Mishra and R. S. L. Srivastava, On | ¯N , pn | summability factors of
infinite series, Indian J. Pure Appl. Math. 15 (1984), 651-656.
[11] W. T. Sulaiman, On some summability factors of infinite series, Proc.
Amer. Math. Soc., 115 (1992) , 313-317.