Email this article Tauberian Theorems for the (\(\bar N\) , pm,n) and (M, λm,n) Methods for Double Series over Ultrametric Fields
- Authors: Natarajan P.N.1
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Affiliations:
- Independent Research Professional
- Issue: Vol 10, No 2 (2018)
- Pages: 100-107
- Section: 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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Abstract
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.
About the authors
P. N. Natarajan
Independent Research Professional
Author for correspondence.
Email: pinnangudinatarajan@gmail.com
India, Old No. 2/3, New No. 3/3, Second Main Road, R.A. Puram, Chennai, 600 028
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