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On the summability |R, log ω, 1| of Fourier series and an associated series

Published online by Cambridge University Press:  24 October 2008

R. Mohanty  and
B. K. Ray
R. Mohanty
Affiliation:
Ravenshaw College, Cuttack-3, India
B. K. Ray
Affiliation:
Ravenshaw College, Cuttack-3, India
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Extract

1. Definition. Let λ ≡ λ(ω) be continuous, differentiable and monotonic increasing in (0, ∞) and let it tend to infinity as ω → ∞. A series is summable |R, λ, r|, where r > 0, if

where A is a fixed positive number(3).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 3 , July 1967 , pp. 721 - 726
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

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