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Summability factors for Riesz loǵarithmic means of order one for a Fourier series†

Published online by Cambridge University Press:  24 October 2008

R. N. Mohapatra
R. N. Mohapatra
Affiliation:
Regional College of Education, Bhubaneswar, Orissa, India
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Extract

Let 0 < λ1 < λ2 < … < λn → ∞ (n→∞). We write

Let ∑an be a given infinite series with the sequence {sn} for its nth partial sum. The (R, λ, 1) mean of the sequence {sn} is given by

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 2 , March 1970 , pp. 307 - 320
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

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