Steinhaus Type Theorem for Nörlund-(M, λn) and Nörlund-Euler-(M, λn) Methods of Summability in Non-Archimedean Fields

Lakshmanan, E. Muthu Meena; Suja, K.

doi:10.28924/2291-8639-21-2023-114

Research Article

Steinhaus Type Theorem for Nörlund-(M, λn) and Nörlund-Euler-(M, λn) Methods of Summability in Non-Archimedean Fields

E. Muthu Meena Lakshmanan
K. Suja¹*

a:1:{s:5:"en_US";s:159:"Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology,, Kattankulathur - 603203, Chennai, Tamil Nadu, India";}

* Corresponding author

Abstract

In the present research paper, an investigation is undertaken of Steinhaus type theorems for Nörlund-(M, λn) and Nörlund-Euler(M, λn) method of summability in K, a complete non-trivially valued Non-Archimedean field. The conditions for statistical summability for those matrices are discussed in such fields K. The consistency of Nörlund-(M, λn) method of summability is investigated when different sequences are used in the summation process. Further, the relation between Nörlund-Euler(M, λn) summable and its statistical summability is also established.

How to Cite

E. M. M. Lakshmanan, K. Suja, Steinhaus Type Theorem for Nörlund-(M, λn) and Nörlund-Euler-(M, λn) Methods of Summability in Non-Archimedean Fields, Int. J. Anal. Appl. 21 (2023), 114. https://doi.org/10.28924/2291-8639-21-2023-114

BibTeX

@article{Lakshmanan2023,
  author  = {Lakshmanan, E. Muthu Meena and Suja, K.},
  title   = {Steinhaus Type Theorem for Nörlund-(M, λn) and Nörlund-Euler-(M, λn) Methods of Summability in Non-Archimedean Fields},
  journal = {Int. J. Anal. Appl.},
  volume  = {21},
  year    = {2023},
  pages   = {114},
  doi     = {10.28924/2291-8639-21-2023-114}
}

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