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On some Zeweir I-convergent sequence spaces defined by a modulus function

Afrika Matematika volume 26, pages 115–125 (2015)Cite this article

Abstract

In this article we introduce the sequence spaces \(\mathcal Z ^{I}(f)\), \(\mathcal Z ^{I}_{0}(f)\) and \(\mathcal Z ^{I}_{\infty }(f)\) for a modulus function \(f\) and study some of the topological and algebraic properties on these spaces.

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Acknowledgments

The authors would like to record their gratitude to the reviewer for his careful reading and making some useful corrections which improved the presentation of the paper.

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Authors and Affiliations

  1. Department of Mathematics, A.M.U., Aligarh, 202002, India

    Vakeel A. Khan, Khalid Ebadullah & Mohd Shafiq

  2. Department of Mathematics, Science and Art Faculty, Adiyaman University, 02040 , Adiyaman, Turkey

    Ayhan Esi

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  1. Vakeel A. Khan
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  2. Khalid Ebadullah
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  3. Ayhan Esi
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  4. Mohd Shafiq
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Correspondence to Vakeel A. Khan.

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Khan, V.A., Ebadullah, K., Esi, A. et al. On some Zeweir I-convergent sequence spaces defined by a modulus function. Afr. Mat. 26, 115–125 (2015). https://doi.org/10.1007/s13370-013-0186-y

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  • DOI: https://doi.org/10.1007/s13370-013-0186-y

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