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Some theorems on strong regularity of Nörlund methods

Published online by Cambridge University Press:  24 October 2008

B. Kuttner
B. Kuttner
Affiliation:
The University, Birmingham B15 2TT
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Extract

1. Given a series

we will throughout write {sn} for the sequence of its partial sums; that is to say,

We will write p, q to denote the sequences {pn}, {qn}; we will write throughout

and will take P−1 = p−1 = 0.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 1 , July 1974 , pp. 195 - 209
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

REFERENCES

(1)Borwien, D. and Cass, F. P.Strong Nörlund Summability. Math. Z. 103 (1968), 94–111.0CrossRefGoogle Scholar
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(4)Hyslop, J. M.Note on the strong summability of series. Proc. Glasgow Math. Assoc. 1 (1952), 16–20.CrossRefGoogle Scholar
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