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On the absolute summability of series by Rieszian means

Published online by Cambridge University Press:  20 January 2009

J. M. Hyslop
J. M. Hyslop
Affiliation:
University of Glasgow.
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I begin by recalling the well known definitions for summability by the methods of Cesaro and Riesz.

The series Σan is said to be summable (C, K), k> – 1, to the sum s if, as n → ∞

where

and is defined formally by the relation

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 5 , Issue 1 , October 1936 , pp. 46 - 54
Copyright
Copyright © Edinburgh Mathematical Society 1936

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