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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
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
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- Copyright © Cambridge Philosophical Society 1970