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On the consistency and relative strength of regular summability methods

Published online by Cambridge University Press:  24 October 2008

J. Copping
J. Copping
Affiliation:
University of Exeter
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Extract

Statement of results. Let A and B be two matrix summability methods, and S a given set of sequences. We shall say that B is S-stronger than A if B sums every sequence which belongs to S and is summed by A. If each of A, B is S-stronger than the other, A and B will be called S-equivalent. If B is S-stronger than A, but A is not S-stronger than B, we say that B is strictly S-stronger than A.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 3 , July 1966 , pp. 421 - 428
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

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