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.
Key words: $\mathcal{I}$-convergent, $\mathcal{I}$-bounded, Orlicz function, Musielak-Orlicz function, $n$-normed space, $A$-transform.
Full Text
Article Information
| Title | Lacunary $\mathcal{I}$-convergent and lacunary $\mathcal{I}$-bounded sequence spaces defined by a Musielak-Orlicz function over $n$-normed spaces |
| Source | Methods Funct. Anal. Topology, Vol. 24 (2018), no. 4, 370-380 |
| MathSciNet |
MR3912071 |
| Milestones | Received 24/03/2017; Revised 23/11/2017 |
| Copyright | The Author(s) 2018 (CC BY-SA) |
Authors Information
M. Mursaleen
Department of Mathematics, Aligarh Muslim university, Aligarh 202002, INDIA
Sunil K. Sharma
Department of mathematics, Model Institute of Engineering & Technology, Kot Bhalwal 181122, J&K, INDIA
Citation Example
M. Mursaleen and Sunil K. Sharma, Lacunary $\mathcal{I}$-convergent and lacunary $\mathcal{I}$-bounded sequence spaces defined by a Musielak-Orlicz function over $n$-normed spaces, Methods Funct. Anal. Topology 24
(2018), no. 4, 370-380.
BibTex
@article {MFAT1115,
AUTHOR = {M. Mursaleen and Sunil K. Sharma},
TITLE = {Lacunary $\mathcal{I}$-convergent and lacunary $\mathcal{I}$-bounded sequence spaces defined by a Musielak-Orlicz function over $n$-normed spaces},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {24},
YEAR = {2018},
NUMBER = {4},
PAGES = {370-380},
ISSN = {1029-3531},
MRNUMBER = {MR3912071},
URL = {http://mfat.imath.kiev.ua/article/?id=1115},
}
