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A Tauberian theorem for statistical convergence

Published online by Cambridge University Press:  28 June 2011

I. J. Maddox
I. J. Maddox
Affiliation:
The Queen's University of Belfast
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Extract

The notion of statistical convergence of a sequence (xk) in a locally convex Hausdorff topological linear space X was introduced recently by Maddox[5], where it was shown that the slow oscillation of (sk) was a Tauberian condition for the statistical convergence of (sk).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 106 , Issue 2 , September 1989 , pp. 277 - 280
Copyright
Copyright © Cambridge Philosophical Society 1989

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References

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