Two valued measure and some new double sequence spaces in $2$-normed spaces
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 809-825
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
The purpose of this paper is to introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure and an Orlicz function in $2$-normed spaces which have unique non-linear structure and to examine some of their properties. This approach has not been used in any context before.
DOI :
10.1007/s10587-011-0029-7
Classification :
40A99, 40C05, 40H05, 46A45, 46A70
Keywords: convergence; $\mu $-statistical convergence; convergence in $\mu $-density; condition (APO$_{2}$); 2-norm; 2-normed space; paranorm; paranormed space; Orlicz function; sequence space
Keywords: convergence; $\mu $-statistical convergence; convergence in $\mu $-density; condition (APO$_{2}$); 2-norm; 2-normed space; paranorm; paranormed space; Orlicz function; sequence space
@article{10_1007_s10587_011_0029_7,
author = {Das, Pratulananda and Savas, Ekrem and Bhunia, Santanu},
title = {Two valued measure and some new double sequence spaces in $2$-normed spaces},
journal = {Czechoslovak Mathematical Journal},
pages = {809--825},
publisher = {mathdoc},
volume = {61},
number = {3},
year = {2011},
doi = {10.1007/s10587-011-0029-7},
mrnumber = {2853094},
zbl = {1249.46003},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0029-7/}
}
TY - JOUR AU - Das, Pratulananda AU - Savas, Ekrem AU - Bhunia, Santanu TI - Two valued measure and some new double sequence spaces in $2$-normed spaces JO - Czechoslovak Mathematical Journal PY - 2011 SP - 809 EP - 825 VL - 61 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0029-7/ DO - 10.1007/s10587-011-0029-7 LA - en ID - 10_1007_s10587_011_0029_7 ER -
%0 Journal Article %A Das, Pratulananda %A Savas, Ekrem %A Bhunia, Santanu %T Two valued measure and some new double sequence spaces in $2$-normed spaces %J Czechoslovak Mathematical Journal %D 2011 %P 809-825 %V 61 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0029-7/ %R 10.1007/s10587-011-0029-7 %G en %F 10_1007_s10587_011_0029_7
Das, Pratulananda; Savas, Ekrem; Bhunia, Santanu. Two valued measure and some new double sequence spaces in $2$-normed spaces. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 809-825. doi: 10.1007/s10587-011-0029-7
Cité par Sources :