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A note on Riesz means
Published online by Cambridge University Press: 24 October 2008
Extract
1. For the familiar definition of (R, λn, κ), (R*, λn, κ) and (N, p) means and their notations, see, for example (3). If {fn} is any arbitrary sequence, we adopt the convention throughout that f−1 = 0. A method of absolute summability |A| is said to be ineffective if it is absolutely regular and sums only absolutely convergent sequences. The main object of this note is to prove absolute analogues of Kuttner's results in (3). And for this we need to prove a theorem (Theorem 1) on ineffectiveness for |N, p| method.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 2 , April 1968 , pp. 389 - 392
- Copyright
- Copyright © Cambridge Philosophical Society 1968
References
REFERENCES
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