A Tauberian theorem for the statistical generalized Nörlund-Euler summability method

Braha, Naim L.

doi:10.2478/ausm-2019-0019

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2021

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“…Natarajan [11] studied the relation between regular Nörlund methods and Nörlund summability. Braha [2], Fekete, Totur, Canak, Loku, etc. worked on Tauberian theorems using different methods of summability.…”

Section: Introductionmentioning

confidence: 99%

Nörlund statistical convergence and Tauberian conditions for statistical convergence from statistical summability using Nörlund means in non-Archimedean fields

Jemima¹,

Srinivasan²

2021

J. Math. Computer Sci.

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In this paper, we define the concept of statistical convergence of sequences by Nörlund summability method and obtain a few results on the relationship between Nörlund summability and Nörlund statistical convergence in a complete, non-trivially valued, non-archimedean field K. Also, the necessary and sufficient Tauberian conditions under which statistical convergence follows from statistical summability by Nörlund means over K are discussed.

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Section: Introductionmentioning

confidence: 99%

Nörlund statistical convergence and Tauberian conditions for statistical convergence from statistical summability using Nörlund means in non-Archimedean fields

Jemima¹,

Srinivasan²

2021

J. Math. Computer Sci.

View full text Add to dashboard Cite

show abstract

A Tauberian theorem for the statistical generalized Nörlund-Euler summability method

Abstract: Let (p n ) and (q n ) be any two non-negative real sequences with R n := n k=0 p k q n−k = 0 (n ∈ N).

Cited by 1 publication

References 7 publications

Nörlund statistical convergence and Tauberian conditions for statistical convergence from statistical summability using Nörlund means in non-Archimedean fields

Nörlund statistical convergence and Tauberian conditions for statistical convergence from statistical summability using Nörlund means in non-Archimedean fields

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