Statistical convergence cannot be generated by a single statistical measure

  • В. М. Кадець V.N.Karazin Kharkiv National University
DOI: https://doi.org/10.26565/2221-5646-2016-84-01
Keywords: filter convergence, statistical convergence, statistical measure

Abstract

We demonstrate that statistical convergence cannot be generated by a single statistical measure, thus solving in negative a question from recent paper by Li Xin Cheng, Li Hua Lin, and Xian Geng Zhou.

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References

Bao, Lingxin; Cheng, Lixin. On statistical measure theory. // J. Math. Anal. Appl. - 2013. - 407, No. 2. - P. 413--424.

Cheng, Li Xin; Lin, Li Hua; Zhou, Xian Geng. Statistical convergence and measure convergence generated by a single statistical measure. // Acta Math. Sin., Engl. Ser. - 2016. - 32, No. 6. -- P. 668--682.
Published
2016-12-16
Cited
How to Cite
Кадець, В. М. (2016). Statistical convergence cannot be generated by a single statistical measure. Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, 84, 4-8. https://doi.org/10.26565/2221-5646-2016-84-01
Issue
Vol. 84 (2016)
Section
Статті

Copyright (c) 2016 Visnyk of V.N.Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics

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