On |A|k summability factors of infinite series; pp. 201–206
PDF | doi: 10.3176/proc.2010.3.02Abstract
In an earlier paper (Rhoades, B. E. and Savaş, E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 2002, 33(7), 1003–1009) the authors obtained necessary conditions for the series ∑ an to be absolutely summable of order k by a triangular matrix. In this paper we present sufficient conditions for absolute matrix summability factors. As a corollary we obtain a result of N. Singh (On |N, pn| summability factors of infinite series. Indian J. Math., 1968, 10, 19–24).
References
1. Rhoades, B. E. Inclusion theorems for absolute matrix summability methods. J. Math. Anal. Appl., 1999, 238, 82–90.
doi:10.1006/jmaa.1999.6507
2. Rhoades, B. E. and Savaş, E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 2002, 33(7), 1003–1009.
3. Singh, N. On |N, pn| summability factors of infinite series. Indian J. Math., 1968, 10, 19–24.
