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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
##### Keywords:
almost increasing summability factor
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