Abstract
We have proved a theorem on summability methods. This theorem includes a known theorem.
Highlights
Let an be a given infinite series with partial sums
We have proved a theorem on |T, pn|k summability methods
In the special case for δ = 1, |C, δ|k summability reduces to |C, 1|k summability
Summary
Let an be a given infinite series with partial sums (sn). By (wnδ), we denote the nth Cesaro means of order δ(δ > −1) of the sequence (sn). We have proved a theorem on |T, pn|k summability methods. Let an be a given infinite series with partial sums (sn). By (wnδ), we denote the nth Cesaro means of order δ(δ > −1) of the sequence (sn).
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