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Tauberian Theorems for Statistical Cesàro Summability of Function of Two Variables over a Locally Convex Space

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Recent Advances in Intelligent Information Systems and Applied Mathematics (ICITAM 2019)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 863))

Abstract

The notion of statistical convergence is more general than the classical convergence. Tauberian theorems via different ordinary summability means have been established by many researchers. In the present paper, we have established two new Tauberian theorems via statistical Cesàro summability mean of continuous function of two variables by using oscillating behavior and De la vallée Poussin means of double integral over a locally convex space. Finally, some concluding remarks and corollaries are provided here to support our theorems and demonstrated that our results are the non trivial extension of some existing results.

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Authors and Affiliations

  1. Department of Mathematics, Ravenshaw University, Cuttack, 753003, Odisha, India

    P. Parida

  2. Department of Mathematics, Veer Surendra Sai University of Technology, Burla, 768018, Odisha, India

    S. K. Paikray & B. B. Jena

Authors
  1. P. Parida
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  2. S. K. Paikray
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  3. B. B. Jena
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Corresponding author

Correspondence to S. K. Paikray .

Editor information

Editors and Affiliations

  1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

  2. Haldia Institute of Technology, Haldia, West Bengal, India

    Dipak Kumar Jana

  3. Maulana Abul Kalam Azad University of Technology, Haringhata, India

    Debasis Giri

  4. Haldia Institute of Technology, Haldia, India

    Arif Ahmed

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Parida, P., Paikray, S.K., Jena, B.B. (2020). Tauberian Theorems for Statistical Cesàro Summability of Function of Two Variables over a Locally Convex Space. In: Castillo, O., Jana, D., Giri, D., Ahmed, A. (eds) Recent Advances in Intelligent Information Systems and Applied Mathematics. ICITAM 2019. Studies in Computational Intelligence, vol 863. Springer, Cham. https://doi.org/10.1007/978-3-030-34152-7_60

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