Abstract
Let 1 < k s < ∞ . In the present paper we obtain sufficient conditions for a series ∑ an , which is absolutely summable of order k by a weighted mean method to be such that ∑ anλn is absolutely summable of order s by a triangular matrix. As corollary of this result we obtain an inclusion theorem. Mathematics subject classification (2000): 40F05, 40D25, 40G99.
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