On the summability |R, log ω, 1| of Fourier series and an associated series
Published online by Cambridge University Press: 24 October 2008
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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