statistical limit point theorems
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ID: 148642
2000
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Abstract
It is known that given a regular matrix A and a bounded sequence
x there is a subsequence (respectively, rearrangement,
stretching) y of x such that the set of limit points of Ay includes the set of limit points of x. Using the notion of a
statistical limit point, we establish statistical convergence
analogues to these results by proving that every complex number
sequence x has a subsequence (respectively, rearrangement,
stretching) y such that every limit point of x is a statistical
limit point of y. We then extend our results to the more general
A-statistical convergence, in which A is an arbitrary
nonnegative matrix.
| Reference Key |
zeager2000internationalstatistical
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|---|---|
| Authors | ;Jeff Zeager |
| Journal | structural engineering and mechanics |
| Year | 2000 |
| DOI |
10.1155/S0161171200002088
|
| URL | |
| Keywords |
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