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On two summability methods

Published online by Cambridge University Press:  24 October 2008

Hüseyin Bor
Hüseyin Bor
Affiliation:
Department of Mathematics, Erciyes University, Kayseri, Turkey
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Extract

Let Σan be a given infinite series with partial sums sn, and rn = nan. By and we denote the nth Cesáro means of order α (α –1) of the sequences (sn) and (rn), respectively. The series Σan is said to be absolutely summable (C, a) with index k, or simply summable |C, α|k, k ≥ 1, if

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 1 , January 1985 , pp. 147 - 149
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

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