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A Sequence Space and Uniform \((A,\varphi )\)—Statistical Convergence

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Mathematics and Computing

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 139))

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Abstract

In this, we introduce and study some properties of the new sequence space that is defined using the \(\varphi \)—function and de la Valée-Poussin mean. We also study some connections between \(V_{\lambda }((A,\varphi ))\)—strong summability of sequences and \(\lambda \)—strong convergence with respect to a modulus.

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Author information

Authors and Affiliations

  1. Istanbul Commerce University, Department of Mathematics, Sütlüce, Istanbul, Turkey

    Ekrem Savaş

Authors
  1. Ekrem Savaş
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Correspondence to Ekrem Savaş .

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Editors and Affiliations

  1. Department of Mathematics, University of Central Florida, Orlando, Florida, USA

    Ram N. Mohapatra

  2. Indian Institute of Technology Kharagpur Dept. Computer Science & Engineering, Kharagpur, West Bengal, India

    Dipanwita Roy Chowdhury

  3. Dept of Computer Science & Engineering, Haldia Institute of Technology, Haldia, West Bengal, India

    Debasis Giri

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Savaş, E. (2015). A Sequence Space and Uniform \((A,\varphi )\)—Statistical Convergence. In: Mohapatra, R., Chowdhury, D., Giri, D. (eds) Mathematics and Computing. Springer Proceedings in Mathematics & Statistics, vol 139. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2452-5_34

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