Abstract
In recent papers, R. Jajte and B. L. R. Shawyer have proved that under certain conditions a series summable by a Borel-type or absolute Borel-type method of summability is also summable by the Abel or absolute Abel method of summability to the same sum. In the present paper, the Abel method is replaced by the more general Abel-type method, giving similar results for ordinary, strong and absolute summability.
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