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Convergence and summability factors in a sequence (II)
Published online by Cambridge University Press: 26 February 2010
Extract
1.1. In an earlier paper [6] the author proved
Theorem A. If α ≥ 0, β ≥ 0 (α, β integers), p > –1, p–r > –1 then necessary and sufficient conditions for a sequence (εn) to be such that
are
and
If α ≥ 1 (α an integer) and (ii) holds, then (i)bis equivalent to
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- Copyright © University College London 1983
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