q-Cesàro double sequence space L̃sq derived by q-analog

Authors

  • Sezer Erdem Department of Basic Engineering Sciences, Malatya Turgut Özal University
  • Serkan Demiriz Department of Mathematics, Tokat Gaziosmanpasa University

Keywords:

q-analog, 4d q-Cesàro matrix, double sequence space, duals, matrix transformations

Abstract

This study includes the new Banach space L̃sq designed as the domain in Ls 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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Published

2023-07-26

How to Cite

Erdem, S., & Demiriz, S. (2023). q-Cesàro double sequence space L̃sq derived by q-analog . Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 22, 111–126. Retrieved from https://studmath.uken.krakow.pl/article/view/10444

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Vol. 22 (2023)

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