Geodesic
Inscription on statistical convergence of order α
Filomat, Tome 35 (2021) no. 7, p. 2341

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this article we recall a remarkable result stated as " For a fixed α, 0 α ≤ 1, the set of all bounded statistically convergent sequences of order α is a closed linear subspace of m (m is the set of all bounded real sequences endowed with the sup norm) " by Bhunia et al. (Acta Math. Hungar. 130 (1-2) (2012), 153–161) and to develop the objective of this perception we demonstrate that the set of all bounded statistically convergent sequences of order α may not form a closed subspace in other sequence spaces. Also we determine two different sequence spaces in which the set of all statistically convergent sequences of order α (irrespective of boundedness) forms a closed set
DOI : 10.2298/FIL2107341M
Classification : 40A05, 40A35
Keywords: Statistical convergence of order α, Hilbert-Cube space, Fréchet sequence space 
Manasi Mandal; Mandobi Banerjee. Inscription on statistical convergence of order α. Filomat, Tome 35 (2021) no. 7, p. 2341 . doi: 10.2298/FIL2107341M
@article{10_2298_FIL2107341M,
     author = {Manasi Mandal and Mandobi Banerjee},
     title = {Inscription on statistical convergence of order \ensuremath{\alpha}},
     journal = {Filomat},
     pages = {2341 },
     year = {2021},
     volume = {35},
     number = {7},
     doi = {10.2298/FIL2107341M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2107341M/}
}
TY  - JOUR
AU  - Manasi Mandal
AU  - Mandobi Banerjee
TI  - Inscription on statistical convergence of order α
JO  - Filomat
PY  - 2021
SP  - 2341 
VL  - 35
IS  - 7
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2107341M/
DO  - 10.2298/FIL2107341M
LA  - en
ID  - 10_2298_FIL2107341M
ER  - 
%0 Journal Article
%A Manasi Mandal
%A Mandobi Banerjee
%T Inscription on statistical convergence of order α
%J Filomat
%D 2021
%P 2341 
%V 35
%N 7
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2107341M/
%R 10.2298/FIL2107341M
%G en
%F 10_2298_FIL2107341M

Cité par Sources :