Acta mathematica Universitatis Comenianae, Tome 80 (2011) no. 2
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H. Dutta; F. Başar. A generalization of Orlicz sequence spaces by Cesàro mean of order one. Acta mathematica Universitatis Comenianae, Tome 80 (2011) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2011_80_2_a3/
@article{AMUC_2011_80_2_a3,
author = {H. Dutta and F. Ba\c{s}ar},
title = {A generalization of {Orlicz} sequence spaces by {Ces\`aro} mean of order one},
journal = {Acta mathematica Universitatis Comenianae},
year = {2011},
volume = {80},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2011_80_2_a3/}
}
TY - JOUR
AU - H. Dutta
AU - F. Başar
TI - A generalization of Orlicz sequence spaces by Cesàro mean of order one
JO - Acta mathematica Universitatis Comenianae
PY - 2011
VL - 80
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2011_80_2_a3/
ID - AMUC_2011_80_2_a3
ER -
%0 Journal Article
%A H. Dutta
%A F. Başar
%T A generalization of Orlicz sequence spaces by Cesàro mean of order one
%J Acta mathematica Universitatis Comenianae
%D 2011
%V 80
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2011_80_2_a3/
%F AMUC_2011_80_2_a3
In this paper, we introduce the Orlicz sequence spaces generated by Cesàro mean of order one associated with a fixed multiplier sequence of non-zero scalars. Furthermore, we emphasize several algebraic and topological properties relevant to these spaces. Finally, we determine the Köthe-Toeplitz dual of the spaces $\ell'$ M (C,Λ) and h M (C,Λ).