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Statistical order convergence in Riesz spaces

In: Mathematica Slovaca, vol. 62, no. 2
Celaleddin Şençimen - Serpil Pehlivan
Detaily:
Rok, strany: 2012, 257 - 270
Kľúčové slová:
Riesz space, statistical monotone convergence, statistical order convergence, statistical convergence in norm, statistical order boundedness
O článku:
In this paper, we introduce the concepts of statistical monotone convergence and statistical order convergence in a Riesz space, and establish some basic facts. We show that the statistical order convergence and the statistical convergence in norm need not be equivalent in a normed Riesz space. Finally, we introduce the statistical order boundedness of a sequence in a Riesz space.
Ako citovať:
ISO 690:
Şençimen, C., Pehlivan, S. 2012. Statistical order convergence in Riesz spaces. In Mathematica Slovaca, vol. 62, no.2, pp. 257-270. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0007-z

APA:
Şençimen, C., Pehlivan, S. (2012). Statistical order convergence in Riesz spaces. Mathematica Slovaca, 62(2), 257-270. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0007-z
O vydaní: