一些具有理想的新的缺项统计收敛性。
Some new lacunary statistical convergence with ideals.
作者信息
Kilicman Adem, Borgohain Stuti
机构信息
Department of Mathematics, University Putra Malaysia, Serdang, 43400 Selangor, Malaysia.
Department of Mathematics, University Putra Malaysia, Serdang, 43400 Selangor, Malaysia ; Department of Mathematics, Indian Institute of Technology, Bombay, Powai, 400076 Mumbai, India.
出版信息
J Inequal Appl. 2017;2017(1):15. doi: 10.1186/s13660-016-1284-9. Epub 2017 Jan 10.
In this paper, the idea of lacunary [Formula: see text]-statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary [Formula: see text]-statistical convergence with lacunary [Formula: see text]-summable sequences. Moreover, we study the [Formula: see text]-lacunary statistical convergence in probabilistic normed space and discuss some topological properties.
本文讨论了由Musielak-Orlicz函数定义的缺项[公式：见正文]-统计收敛序列空间的概念。我们研究了缺项[公式：见正文]-统计收敛与缺项[公式：见正文]-可和序列之间的关系。此外，我们研究了概率赋范空间中的[公式：见正文]-缺项统计收敛，并讨论了一些拓扑性质。
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