Research Article On General Summability Factor Theorems
نویسنده
چکیده
In the recent papers [1, 2], the author obtained necessary and sufficient conditions for a series ∑ an which is absolutely summable of order k by a weighted mean method, 1 < k ≤ s <∞, to be such that anλn is absolutely summable of order s by a triangular matrix method. In this paper, we obtain sufficient and (different) necessary conditions for a series ∑ an which is absolutely summable |A|k to imply the series ∑ anλn which is absolutely summable |B|s. Let T be a lower triangular matrix, {sn} a sequence. Then
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