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On Hausdorff's methods of summability

Published online by Cambridge University Press:  24 October 2008

W. W. Rogosinski
W. W. Rogosinski
Affiliation:
Aberdeen, King's College August 1941
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Extract

The aim of this paper is to give a general theory of the ‘strength’ of Hausdorff methods of summability. These methods are defined by the linear transforms

of a sequence (sk). Here the μk form a given sequence of real or complex numbers and the Δp(μk) denote their differences of order p; i.e. Δ0(μk) = μk and

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 38 , Issue 2 , April 1942 , pp. 166 - 192
Copyright
Copyright © Cambridge Philosophical Society 1942

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