A THEOREM ON SUMMABILITY FACTORS FOR THE WEIGHTED MEAN METHOD FOR DOUBLE SERIES IN ULTRAMETRIC FIELDS

P N Natarajan

doi:10.32219/isms.81.3_293

Scientiae Mathematicae Japonicae

Online ISSN : 1346-0447

A THEOREM ON SUMMABILITY FACTORS FOR THE WEIGHTED MEAN METHOD FOR DOUBLE SERIES IN ULTRAMETRIC FIELDS

P N Natarajan

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Keywords: Ultrametric (or non-archimedean) field, summability factor, double sequence, double series, 4-dimensional infinite matrix, regular method, Weighted mean method

JOURNAL FREE ACCESS

2019 Volume 81 Issue 3 Pages 293-299

DOI https://doi.org/10.32219/isms.81.3_293

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Abstract

Throughout this paper, K denotes a complete, non-trivially valued, ultrametric (or non-archimedean) field. 4-dimensional infinite matrices, double sequences and double series have entries in K. In the present paper, we prove a theorem on summability factors for the Weighted mean method for double series in K.

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