Abstract
K denotes a complete, non-trivially valued, non-archimedean field. Infinite matrices, sequences and series have entries in K. In this paper, we prove an interesting result, which gives an equivalent formulation of summability by weighted mean methods. Incidentally this result includes the non-archimedean analogue of a theorem proved by Móricz and Rhoades (see [2], Theorem MR, p.188).
Article PDF
Avoid common mistakes on your manuscript.
References
A. F. Monna, “Sur le théorème de Banach-Steinhaus,” Indag. Math. 25, 121–131 (1963).
F. Móricz and B. E. Rhoades, “An equivalent reformulation of summability by weighted mean methods, revised,” Linear Alg. Appl. 349, 187–192 (2002).
P. N. Natarajan, “Weighted means in non-archimedean fields,” Ann. Math. Blaise Pascal 2, 192–200 (1995).
V. K. Srinivasan, “On certain summation processes in the p-adic field,” Indag. Math. 27, 319–325 (1965).
Author information
Authors and Affiliations
Corresponding author
Additional information
The text was submitted by the author in English.
Rights and permissions
About this article
Cite this article
Natarajan, P.N. A theorem on weighted means in non-archimedean fields. P-Adic Num Ultrametr Anal Appl 2, 363–367 (2010). https://doi.org/10.1134/S2070046610040096
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S2070046610040096