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On $Iλ$-statistical convergence in locally solid Riesz spaces

In: Mathematica Slovaca, vol. 65, no. 6
Pratulananda Das - Ekrem Savas
Detaily:
Rok, strany: 2015, 1491 - 1504
Kľúčové slová:
ideal, filter, $I$-statistical-$\tau$-convergence, $I_{\lambda}$-statistical-$\tau$-convergence, $I_{\lambda}$\nbd-statistical-$\tau$-boundedness, $I_{\lambda}$-statistical-$\tau$-Cauchy condition,
O článku:
In this paper, we extend some results concerning statistical convergence in locally solid Riesz spaces by introducing a more general idea of convergence, namely $Iλ$-statistical convergence. We investigate the ideas of $Iλ$-statistical-$τ$-convergence, $Iλ$-statistical-$τ$-boundedness and $Iλ$-statistical-$τ$-Cauchy condition of sequences in a locally solid Riesz space endowed with a topology $τ$ and investigate some of their consequences.
Ako citovať:
ISO 690:
Das, P., Savas, E. 2015. On $Iλ$-statistical convergence in locally solid Riesz spaces. In Mathematica Slovaca, vol. 65, no.6, pp. 1491-1504. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0101

APA:
Das, P., Savas, E. (2015). On $Iλ$-statistical convergence in locally solid Riesz spaces. Mathematica Slovaca, 65(6), 1491-1504. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0101
O vydaní:
Publikované: 1. 12. 2015