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A note on Riesz means

Published online by Cambridge University Press:  24 October 2008

G. Das
G. Das
Affiliation:
University CollegeLondon
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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

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References

REFERENCES

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