On two summability methods

Hüseyin Bor

Source record

Source: Crossref

Published: Jan 1, 1985

DOI: 10.1017/s030500410006268x

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Source abstract

Let Σ a n be a given infinite series with partial sums s n , and r n = na n . By and we denote the n th Cesáro means of order α (α –1) of the sequences (s n ) and (r n ), respectively. The series Σa n is said to be absolutely summable (C, a) with index k, or simply summable | C, α| k , k ≥ 1, if

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