Core equality results for sequences

Given densities μ and v, we characterize nonnegative matrices T such that the μ-statistical core of x equals the v-statistical core of Tx for every real-valued bounded sequence.

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 321; no. 2; pp. 515 - 523
Main Authors:	Connor, J., Fridy, J.A., Orhan, C.
Format:	Journal Article
Language:	English
Published:	San Diego, CA Elsevier Inc 15-09-2006 Elsevier
Subjects:	Core of a sequence Exact sciences and technology Mathematical analysis Mathematics Natural density Sciences and techniques of general use Sequences, series, summability Statistical limit superior/limit inferior Statistically convergent sequence Statistical limit superior/limit inferior Statistically convergent sequence Core of a sequence Natural density Density estimation Real sequence Mathematical analysis
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Description
Summary:	Given densities μ and v, we characterize nonnegative matrices T such that the μ-statistical core of x equals the v-statistical core of Tx for every real-valued bounded sequence.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2005.07.067