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Research Article | Open Access

On some generalized q-difference sequence spaces

Hacer Bilgin Ellidokuzoğlu1, Serkan Demiriz2( )
Department of Mathematics, Recep Tayyip Erdog~an University, Rize 53100, Turkey
Department of Mathematics, Tokat Gaziosmanpaşa University, Tokat 60240, Turkey
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Abstract

In this study, we construct the spaces of q-difference sequences of order m. We obtain some inclusion relations, topological properties, Schauder basis and alpha, beta and gamma duals of the newly defined spaces. We characterize certain matrix classes from the newly defined spaces to any one of the spaces c 0 , c , ℓ ∞ and ℓ p .

Keywords

sequence spacesq-calculusq-difference matrixq-difference sequence spaces
CLC number: 40C05, 40G05, 33D99

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AIMS Mathematics
Volume 8 Issue 8,
August 2023
Pages 18607-18617
DOI: 10.3934/math.2023947

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Ellidokuzoğlu HB, Demiriz S. On some generalized q-difference sequence spaces. AIMS Mathematics, 2023, 8(8): 18607-18617. https://doi.org/10.3934/math.2023947

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Received: 17 March 2023
Revised: 18 May 2023
Accepted: 28 May 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)