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On Generalized Statistical Convergence and Strongly Summable Functions of Weight g

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Mathematical Analysis and Applications in Modeling (ICMAAM 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 302))

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Abstract

In this paper, by using a nonnegative real-valued Lebesque measurable function in the interval \(\left( 1,\infty \right) \) we introduce the concepts of strong \((V, \lambda ,p)\)-summability and \(\lambda \)-statistical convergence of weight \(g : [0, \infty ) \rightarrow [0, \infty )\) where \(g(x_n) \rightarrow \infty \) for any sequence \((x_n)\) in \([0, \infty )\) with \(x_n \rightarrow \infty \). We also examine some relations between \(\lambda \)- statistical convergence of weight g and strong \((V,\lambda , p)\)-summability of weight g.

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Author information

Authors and Affiliations

  1. Usak University, Usak, Turkey

    Ekrem Savaş

  2. Sakarya University, sakarya, Turkey

    Rabia Savaş

Authors
  1. Ekrem Savaş
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  2. Rabia Savaş
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Corresponding author

Correspondence to Ekrem Savaş .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India

    Priti Kumar Roy

  2. College of Science, Beijing Technology and Business University, Beijing, China

    Xianbing Cao

  3. College of Mathematics and Information Science, Henan Normal University, Xinxiang, Xinjiang, China

    Xue-Zhi Li

  4. Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India

    Pratulananda Das

  5. Harish-Chandra Research Institute, Allahabad, Uttar Pradesh, India

    Satya Deo

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Savaş, E., Savaş, R. (2020). On Generalized Statistical Convergence and Strongly Summable Functions of Weight g. In: Roy, P., Cao, X., Li, XZ., Das, P., Deo, S. (eds) Mathematical Analysis and Applications in Modeling. ICMAAM 2018. Springer Proceedings in Mathematics & Statistics, vol 302. Springer, Singapore. https://doi.org/10.1007/978-981-15-0422-8_11

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