I- Convergence and I- Core of a Double Sequence in Non-Archimedean Fields
Journal Title: International Journal of Innovation in Science and Mathematics - Year 2018, Vol 6, Issue 2
Abstract
The concept of I-Convergence of real bounded sequences was introduced by Kostyrko et al [2, 7, 8] as a generalization of Statistical convergence [4, 5, 9] which is based on the structure of the ideal I of subsets of the set of natural numbers. Later, K. Dems extended the concept of I- convergence of a double sequence in [3, 8, 10]. In this paper, we discussed the idea of I- convergence and I- core of a double sequences in a complete, locally compact, non-trivially valued, non-archimedean field K and also we have proved some basic properties of these concepts, which is analogues to the work presented by Vijaya kumar [15].
Authors and Affiliations
S. Sangeetha
Keywords
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