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Journal of Inequalities and Applications
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On Some Geometrical Properties of Generalized Modular Spaces of Cesáro Type Defined by Weighted Means

Journal of Inequalities and Applications volume 2009, Article number: 932734 (2009) Cite this article

Abstract

The main purpose of this paper is to introduce modular structure of the sequence space defined by Altay and Başar (2007), and to study Kadec-Klee () and uniform Opial properties of this sequence space on Köthe sequence spaces.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, 02040, Adıyaman, Turkey

    Necip Şimşek

  2. Department of Mathematical Engineering, Yıldız Technical University, Davutpasa Campus, Esenler, 80750, İstanbul, Turkey

    Vatan Karakaya

Authors
  1. Necip Şimşek
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  2. Vatan Karakaya
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Correspondence to Necip Şimşek.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Şimşek, N., Karakaya, V. On Some Geometrical Properties of Generalized Modular Spaces of Cesáro Type Defined by Weighted Means. J Inequal Appl 2009, 932734 (2009). https://doi.org/10.1155/2009/932734

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  • DOI: https://doi.org/10.1155/2009/932734

Keywords

  • Modular Space
  • Geometrical Property
  • Sequence Space
  • Opial Property
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