A generalization of Orlicz sequence spaces by Cesàro mean of order one
Acta mathematica Universitatis Comenianae, Tome 80 (2011) no. 2
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/}
}
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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).