q-Cesàro double sequence space ℒ˜sq$$\tilde {\cal L}_s^q$$ derived by q-analog

Sezer Erdem; Serkan Demiriz

doi:10.2478/aupcsm-2023-0009

$q-Cesàro double sequence space ℒ˜sq$$\tilde {\cal L}_s^q$$ derived by q-analog Cover$

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q-Cesàro double sequence space ℒ˜sq$$\tilde {\cal L}_s^q$$ derived by q-analog

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 22 (2023): Issue 1 (January 2023)

By: Sezer Erdem and Serkan Demiriz

Open Access

|Jul 2023

Abstract

This study includes the new Banach space ${\tilde{ℒ}}_{s}^{q}$ $$\tilde {\cal L}_s^q$$ designed as the domain in 𝓛_s space of the 4d (4-dimensional) q-Cesàro matrix obtained as the q-analog of the well-known 4d Cesàro matrix. After showing the completeness of the aforementioned space, giving some inclusion relations, determining the fundamental set of this space and calculating the duals, finally, some matrix transformations related to the new space were characterized.

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Articles in this issue

DOI: https://doi.org/10.2478/aupcsm-2023-0009 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 111 - 126

Submitted on: Feb 10, 2023

Accepted on: May 9, 2023

Published on: Jul 31, 2023

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

q-analog,

4d q-Cesàro matrix,

double sequence space,

duals,

matrix transformations

Related subjects:

Mathematics,

General mathematics

© 2023 Sezer Erdem, Serkan Demiriz, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

Volume 22 (2023): Issue 1 (January 2023)