IJPAM: Volume 91, No. 2 (2014)

SOME PROPERTIES OF THE EULER SUMMABILITY
METHOD IN COMPLETE ULTRAMETRIC FIELDS

R. Deepa$^1$, K. Ganesan$^2$
$^{1,2}$Department of Mathematics
Faculty of Engineering and Technology
SRM University
Kattankulathur, Chennai, 603203, INDIA


Abstract. In this paper, we study some properties of the Euler method of summability in complete, non-trivially valued, ultrametric fields of characteristic zero and prove few Tauberian theorems of Euler method on such a field.

Received: November 25, 2013

AMS Subject Classification: 40, 46

Key Words and Phrases: complete ultrametric fields, regular summability methods, Euler method, translative methods, Tauberian theorem

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DOI: 10.12732/ijpam.v91i2.10 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 91
Issue: 2