Geodesic
Domain of q-Cesàro matrix in Hahn sequence space h d and the space bv of the sequences of bounded variation
Filomat, Tome 36 (2022) no. 19, p. 6427

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

DOI

Let h d = f = (f k) ∈ ω : k d k | f k − f k+1 | ∞ ∩ c 0 , where d = (d k) is an unbounded and monotonic increasing sequence of positive reals. We study the matrix domains h d (C q) = (h d) C q and bv(C q) = (bv) C q , where C q is the q-Cesàro matrix, 0 q 1. Apart from the inclusion relations and Schauder basis, we compute α-, β-and γ-duals of the spaces h d (C q) and bv(C q). We state and prove theorems concerning characterization of matrix classes from the spaces h d (C q) and bv(C q) to any one of the space ℓ ∞ , c, c 0 or ℓ 1. Finally, we obtain certain identities concerning characterization of compact operators using Hausdorff measure of non-compactness in the space h d (C q).
DOI : 10.2298/FIL2219427Y
Classification : 46A45, 40C05, 46B45, 47B37, 47B07
Keywords: Hahn sequence space, q-Cesàro matrix, Schauder basis, α-, β-, γ-duals, Matrix mappings, Compact operator 
Taja Yaying; Murat Kirişçi; Bipan Hazarika; Orhan Tuğ. Domain of q-Cesàro matrix in Hahn sequence space h d and the space bv of the sequences of bounded variation. Filomat, Tome 36 (2022) no. 19, p. 6427 . doi: 10.2298/FIL2219427Y
@article{10_2298_FIL2219427Y,
     author = {Taja Yaying and Murat Kiri\c{s}\c{c}i and Bipan Hazarika and Orhan Tu\u{g}},
     title = {Domain of {q-Ces\`aro} matrix in {Hahn} sequence space h d and the space bv of the sequences of bounded variation},
     journal = {Filomat},
     pages = {6427 },
     year = {2022},
     volume = {36},
     number = {19},
     doi = {10.2298/FIL2219427Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2219427Y/}
}
TY  - JOUR
AU  - Taja Yaying
AU  - Murat Kirişçi
AU  - Bipan Hazarika
AU  - Orhan Tuğ
TI  - Domain of q-Cesàro matrix in Hahn sequence space h d and the space bv of the sequences of bounded variation
JO  - Filomat
PY  - 2022
SP  - 6427 
VL  - 36
IS  - 19
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2219427Y/
DO  - 10.2298/FIL2219427Y
LA  - en
ID  - 10_2298_FIL2219427Y
ER  - 
%0 Journal Article
%A Taja Yaying
%A Murat Kirişçi
%A Bipan Hazarika
%A Orhan Tuğ
%T Domain of q-Cesàro matrix in Hahn sequence space h d and the space bv of the sequences of bounded variation
%J Filomat
%D 2022
%P 6427 
%V 36
%N 19
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2219427Y/
%R 10.2298/FIL2219427Y
%G en
%F 10_2298_FIL2219427Y

Cité par Sources :