Some Steinhaus type theorems over valued fields
Some properties of the -method of summability in complete ultrametric fields
Weighted means in non-archimedean fields
Some more Steinhaus type theorems over valued fields
Product Theorems for Certain Summability Methods in Non-archimedean Fields
In this paper, denotes a complete, non-trivially valued, non-archimedean field. Sequences and infinite matrices have entries in The main purpose of this paper is to prove some product theorems involving the methods and in such fields
A Tauberian Theorem for Weighted Means in Non-Archimedean Fields - Revisited and Revised
In this note, denotes a complete, non-trivially valued, non-archimedean field. We correct a Tauberian theorem for weighted means in proved earlier in [1].
An addendum to the paper "Some Characterizations of Schur Matrices in Ultrametric Fields"
In this short note, we add a few remarks in the context of [1].
A Generalization of a Theorem of Móricz and Rhoades on Weighted Means
In this paper,we prove a theorem which gives an equivalent formulation of summability by weighted mean methods. The result of Hardy [1] and that of Móricz and Rhoades [2] are special cases of this theorem. In this context, it is important to note that the result of Móricz and Rhoades is valid even without the assumption as .
The Schur and Steinhaus Theorems for 4-Dimensional Matrices in Ultrametric Fields
Throughout this paper, K denotes a ds-complete, non-trivially valued, ultrametric field. Entries of double sequences, double series and 4-dimensional matrices are in K. We prove the Schur and Steinhaus theorems for 4-dimensional matrices in such fields.
The Schur and Steinhaus Theorems for 4-Dimensional Infinite Matrices
This paper is a sequel to [2]. Throughout this paper, entries of double sequences, double series and 4-dimensional infinite matrices are real or complex numbers. We prove the Schur and Steinhaus theorems for 4-dimensional infinite matrices.
Convolution of Nörlund methods in non-archimedean fields
Silvermann-Toeplitz theorem for double sequences and series and its application to Nörlund means in non-archimedean fields
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