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Some Theorems on Strong Nörlund Summability

Published online by Cambridge University Press:  20 November 2018

Frank P. Cass
Frank P. Cass*
Affiliation:
University of Western Ontario, London, Ontario
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Throughout this paper H, H 1 etc. will denote positive constants which will not necessarily be the same at different occurrences.If is a series, we shall use the notation For a real, define

1

Let {p n } be a sequence with p0>0 and p n ≥0 for n > 0. Define

2

The following identities are immediate:

3

4

where

5

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 15 , Issue 1 , March 1972 , pp. 63 - 69
Copyright
Copyright © Canadian Mathematical Society 1972

References

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