A New Sequence Space Defined by a Sequence of Orlicz Functions over $n$-Normed Spaces
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 51 (2012) no. 1, pp. 89-100
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In this paper we introduce a new sequence space $ BV_{\sigma }(\mathcal {M},u,p,r, \Vert \cdot , \ldots , \cdot \Vert )$ defined by a sequence of Orlicz functions $\mathcal {M} = (M_k)$ and study some topological properties of this sequence space.
In this paper we introduce a new sequence space $ BV_{\sigma }(\mathcal {M},u,p,r, \Vert \cdot , \ldots , \cdot \Vert )$ defined by a sequence of Orlicz functions $\mathcal {M} = (M_k)$ and study some topological properties of this sequence space.
Classification :
40A05, 40D05, 46A45
Keywords: paranorm space; invariant mean; orlicz function; Musielak–orlicz function; $n$-normed space; solid
Keywords: paranorm space; invariant mean; orlicz function; Musielak–orlicz function; $n$-normed space; solid
@article{AUPO_2012_51_1_a6,
author = {Raj, Kuldip and Sharma, Sunil K.},
title = {A {New} {Sequence} {Space} {Defined} by a {Sequence} of {Orlicz} {Functions} over $n${-Normed} {Spaces}},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {89--100},
year = {2012},
volume = {51},
number = {1},
mrnumber = {3060011},
zbl = {06204923},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2012_51_1_a6/}
}
TY - JOUR AU - Raj, Kuldip AU - Sharma, Sunil K. TI - A New Sequence Space Defined by a Sequence of Orlicz Functions over $n$-Normed Spaces JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica PY - 2012 SP - 89 EP - 100 VL - 51 IS - 1 UR - http://geodesic.mathdoc.fr/item/AUPO_2012_51_1_a6/ LA - en ID - AUPO_2012_51_1_a6 ER -
%0 Journal Article %A Raj, Kuldip %A Sharma, Sunil K. %T A New Sequence Space Defined by a Sequence of Orlicz Functions over $n$-Normed Spaces %J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica %D 2012 %P 89-100 %V 51 %N 1 %U http://geodesic.mathdoc.fr/item/AUPO_2012_51_1_a6/ %G en %F AUPO_2012_51_1_a6
Raj, Kuldip; Sharma, Sunil K. A New Sequence Space Defined by a Sequence of Orlicz Functions over $n$-Normed Spaces. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 51 (2012) no. 1, pp. 89-100. http://geodesic.mathdoc.fr/item/AUPO_2012_51_1_a6/