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A summability factor theorem for generalized absolute summability. (English) Zbl 1116.40004

The authors prove a summability factor theorem for summability \(\left| A,\delta \right| _{k}\) where \(k\geq 1,\) \(\delta >0\) and lower triangular matrix with nonnegative entries satisfying a certain condition. The theorem is an extension of the main result of H. Bor and H. Seyhan in [Indian J. Pure Appl. Math. 30, 1041–1046 (1999; Zbl 0942.40001)].

MSC:

40F05 Absolute and strong summability
40D25 Inclusion and equivalence theorems in summability theory

Citations:

Zbl 0942.40001
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