Tauberian Theorems for the (\(\bar N\) , pm,n) and (M, λm,n) Methods for Double Series over Ultrametric Fields
- Autores: Natarajan P.N.1
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Afiliações:
- Independent Research Professional
- Edição: Volume 10, Nº 2 (2018)
- Páginas: 100-107
- Seção: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/200966
- DOI: https://doi.org/10.1134/S2070046618020036
- ID: 200966
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Resumo
In this paper, K denotes a complete, non-trivially valued, non-archimedean (or ultrametric) field. Entries of double sequences, double series and 4-dimensional infinite matrices are in K.We prove Tauberian theorems for the Weighted Mean and (M,λm,n) methods for double series.
Sobre autores
P. Natarajan
Independent Research Professional
Autor responsável pela correspondência
Email: pinnangudinatarajan@gmail.com
Índia, Old No. 2/3, New No. 3/3, Second Main Road, R.A. Puram, Chennai, 600 028
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