Tauberian Theorems for the (\(\bar N\) , pm,n) and (M, λm,n) Methods for Double Series over Ultrametric Fields

Аннотация

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,λ_m,n) methods for double series.