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- Title
On convergence and summability with speed in ultrametric fields.
- Authors
Natarajan, P. N.
- Abstract
Throughout the present paper, K denotes a complete, non-trivially valued, ultrametric (or non-archimedean) field. Entries of sequences, infinite series and infinite matrices are in K. Following Kangro [2-4], we introduce the concepts of convergence with speed (or 1-convergence) and 1-summability by the infinite matrix A (or A- summability) in K. We then prove a characterization of the matrix class (c, cµ), where c denotes the set of all 7-convergent sequences.
- Subjects
INFINITE matrices; STOCHASTIC convergence; INFINITE series (Mathematics); MATHEMATICAL formulas; MATHEMATICAL models
- Publication
Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică, 2022, Vol 68, Issue 2, p195
- ISSN
1221-8421
- Publication type
Article
- DOI
10.47743/anstim.2022.00015