Lacunary $\mathcal{I}$-convergent and lacunary $\mathcal{I}$-bounded sequence spaces defined by a Musielak-Orlicz function over $n$-normed spaces

Authors

  • M. Mursaleen </span>Department of Mathematics, Aligarh Muslim university, Aligarh 202002, INDIA
  • S. K. Sharma </span>Department of mathematics, Model Institute of Engineering &amp; Technology, Kot Bhalwal 181122, J&amp;K, INDIA

DOI:

Keywords:

$\mathcal{I}$-convergent, $\mathcal{I}$-bounded, Orlicz function, Musielak-Orlicz function, $n$-normed space, $A$-transform

Abstract

In the present paper we defined $\mathcal{I}$-convergent and $\mathcal{I}$-bounded sequence spaces defined by a Musielak-Orlicz function $\mathcal{M} = (M_k)$ over $n$-normed spaces. We also make an effort to study some topological properties and prove some inclusion relation between these spaces.

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Published

2018-12-25

Issue

Vol. 24 No. 4 (2018)

Section

Articles

How to Cite

Mursaleen, M., and S. K. Sharma. “Lacunary $\mathcal{I}$-Convergent and Lacunary $\mathcal{I}$-Bounded Sequence Spaces Defined by a Musielak-Orlicz Function over $n$-Normed Spaces”. Methods of Functional Analysis and Topology, vol. 24, no. 4, Dec. 2018, pp. 370-8, https://zen.imath.kiev.ua/index.php/mfat/article/view/706.