Taja, Yaying and Murat, Kirişçi and Hazarika, Bipan and Tuğ, Orhan
(2022)
*Domain of q-Cesàro matrix in Hahn sequence space hd and the space bv of the sequences of bounded variation.*
Filomat, 36 (19).

Text (Research Article)
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## Abstract

Let hd = n f = (fk) ∈ ω : P k dk| fk − fk+1| < ∞ o ∩ c0, where d = (dk) is an unbounded and monotonic increasing sequence of positive reals. We study the matrix domains hd(Cq) = (hd)Cq and bv(Cq)=(bv)Cq, where Cq 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 hd(Cq) and bv(Cq). We state and prove theorems concerning characterization of matrix classes from the spaces hd(Cq) and bv(Cq) to any one of the space ℓ∞, c, c0 or ℓ1. Finally, we obtain certain identities concerning characterization of compact operators using Hausdorff measure of non-compactness in the space hd(Cq).

Item Type: | Article |
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Uncontrolled Keywords: | Hahn sequence space, q-Cesàro matrix, Schauder basis, α-, β-, γ-duals, Matrix mappings, Compact operator |

Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics Q Science > QC Physics |

Depositing User: | ePrints deposit |

Date Deposited: | 13 Sep 2023 13:37 |

Last Modified: | 13 Sep 2023 13:37 |

URI: | http://eprints.tiu.edu.iq/id/eprint/1190 |

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