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The summation of Fourier series by logarithmic means

Published online by Cambridge University Press:  24 October 2008

B. Kwee
B. Kwee
Affiliation:
University of Malaya, Kuala Lumpur, Malaysia
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Extract

Let {sn} be the sequence of partial sums of the series and let

If , we say that the series is summable (l) to s, and if , the series is said to be summable (l2) to s. It is clear that .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 3 , November 1971 , pp. 413 - 419
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

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(4)Nanda, M.The summability (L) of the Fourier series and the first differentiated Fourier series, Quart. J. Math. Oxford, Ser. 2, 13 (1962), 229–234.CrossRefGoogle Scholar