Product Theorems for Certain Summability Methods in Non-archimedean Fields

P.N. Natarajan

doi:10.5802/ambp.176

P.N. Natarajan ¹

¹ Ramakrishna Mission Vivekananda College Department of Mathematics Mylapore Chennai 600 004 INDIA

Annales mathématiques Blaise Pascal, Tome 10 (2003) no. 2, pp. 261-267.

Résumé

In this paper, $K$ denotes a complete, non-trivially valued, non-archimedean field. Sequences and infinite matrices have entries in $K .$ The main purpose of this paper is to prove some product theorems involving the methods $M$ and $(N, p_{n})$ in such fields $K .$

EuDML MR Zbl

DOI : 10.5802/ambp.176

Classification : 40, 46
Mots clés : regular summability methods, $M,(N,p_n)$ methods, product theorems, consistency, analytic functions

Affiliations des auteurs :

P.N. Natarajan ¹

¹ Ramakrishna Mission Vivekananda College Department of Mathematics Mylapore Chennai 600 004 INDIA

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     title = {Product {Theorems} for {Certain} {Summability} {Methods} in {Non-archimedean} {Fields}},
     journal = {Annales math\'ematiques Blaise Pascal},
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     volume = {10},
     number = {2},
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P.N. Natarajan. Product Theorems for Certain Summability Methods in Non-archimedean Fields. Annales mathématiques Blaise Pascal, Tome 10 (2003) no. 2, pp. 261-267. doi : 10.5802/ambp.176. https://ambp.centre-mersenne.org/articles/10.5802/ambp.176/

Bibliographie
Cité par

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[5] P.N. Natarajan; V Srinivasan Silvermann-Toeplitz theorem for double sequences and series and its application to Nörlund means in non-archimedean fields, Ann.Math. Blaise Pascal, Volume 9 (2002), pp. 85-100 | DOI | Numdam | MR | Zbl

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