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Statistical Convergence on Timescales and Its Characterizations

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Advances in Applied Mathematics and Approximation Theory

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 41))

Abstract

In this paper, we introduce the concept of statistical convergence of delta measurable real-valued functions defined on time scales. The classical cases of our definition include many well-known convergence methods and also suggest many new ones. We obtain various characterizations on statistical convergence.

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Author information

Authors and Affiliations

  1. Department of Mathematics, TOBB Economics and Technology University, Ankara, Turkey

    Ceylan Turan & Oktay Duman

Authors
  1. Ceylan Turan
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  2. Oktay Duman
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Corresponding author

Correspondence to Ceylan Turan .

Editor information

Editors and Affiliations

  1. , Department of Mathematical Sciences, The University of Memphis, Memphis, 38152, Tennessee, USA

    George A. Anastassiou

  2. , Department of Mathematics, TOBB Economics and Technology University, Sögütözü, Ankara, 06530, Turkey

    Oktay Duman

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Turan, C., Duman, O. (2013). Statistical Convergence on Timescales and Its Characterizations. In: Anastassiou, G., Duman, O. (eds) Advances in Applied Mathematics and Approximation Theory. Springer Proceedings in Mathematics & Statistics, vol 41. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6393-1_3

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