$$A$$ -distributional summability in topological spaces

$$A$$ -distributional summability in topological spaces In the present paper we introduce a new concept of $$A$$ -distributional convergence in an arbitrary Hausdorff topological space which is equivalent to $$A$$ -statistical convergence for a degenerate distribution function. We investigate $$A$$ -distributional convergence as a summability method in an arbitrary Hausdorff topological space. We also study the summability of spliced sequences, in particular, for metric spaces and give the Bochner integral representation of $$A$$ -limits of the spliced sequences for Banach spaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

$$A$$ -distributional summability in topological spaces

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Publisher
Springer Journals
Copyright
Copyright © 2013 by Springer Basel
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-013-0235-7
Publisher site
See Article on Publisher Site

Abstract

In the present paper we introduce a new concept of $$A$$ -distributional convergence in an arbitrary Hausdorff topological space which is equivalent to $$A$$ -statistical convergence for a degenerate distribution function. We investigate $$A$$ -distributional convergence as a summability method in an arbitrary Hausdorff topological space. We also study the summability of spliced sequences, in particular, for metric spaces and give the Bochner integral representation of $$A$$ -limits of the spliced sequences for Banach spaces.

Journal

PositivitySpringer Journals

Published: Apr 16, 2013

References

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