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Research Article | Open Access

Matrix domain of the second-order q-Cesàro matrix in classical sequence spaces

Hacer Bilgin Ellidokuzoğlu1( ), Serkan Demiriz2
Department of Mathematics, Recep Tayyip Erdoğan University, 53100 Rize, Türkiye
Department of Mathematics, Tokat Gaziosmanpaşa University, 60250 Tokat, Türkiye
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Abstract

In this paper, we study a second-order q-Cesàro matrix and its matrix domains in the spaces c 0 and c. We establish basic structural results, including inclusion relations, connections with earlier Cesàro-type sequence spaces, the duals of these spaces, and the associated matrix transformations. Our approach extends known work on q-Cesàro operators and provides a starting point for further investigations of higher-order q-averaging methods in summability theory.

Keywords

q-Cesàro matrixsecond-order q-Cesàro matrixmatrix domainsequence spaces
CLC number: 40C05, 46A45

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AIMS Mathematics
Volume 11 Issue 6,
June 2026
Pages 17022-17038
DOI: 10.3934/math.2026697

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Ellidokuzoğlu HB, Demiriz S. Matrix domain of the second-order q-Cesàro matrix in classical sequence spaces. AIMS Mathematics, 2026, 11(6): 17022-17038. https://doi.org/10.3934/math.2026697

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Received: 08 April 2026
Revised: 22 May 2026
Accepted: 01 June 2026
Published: 15 June 2026
©2026 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)