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On the convergence factor of a Fourier series

Published online by Cambridge University Press:  24 October 2008

R. Mohanty
R. Mohanty
Affiliation:
Ravenshaw College, Cuttack, India
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Extract

Definition A. Let 0 < λ0 < λ1 < λ2 < …, λn → ∞ and suppose thatis a given infinite series write

where λm ≤ ω > λm+1. Also write for k > 0,

.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 1 , January 1967 , pp. 129 - 132
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

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