A theorem on weighted means in non-archimedean fields
Tóm tắt
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).
Tài liệu tham khảo
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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).