Geodesic
AI-statistical limit points and AI-statistical cluster points
Filomat, Tome 36 (2022) no. 5, p. 1573

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DOI

In this paper using a non-negative regular summability matrix A and a non trivial admissible ideal I of subsets of N we have introduced the notion of AI-statistical limit point as a generalization of A-statistical limit point of sequences of real numbers. We have also studied some basic properties of the sets of all AI-statistical limit points and AI-statistical cluster points of real sequences including their interrelationship. Also introducing additive property of AI-density zero sets we have established AI-statistical analogue of some completeness theorems of R.
DOI : 10.2298/FIL2205573M
Classification : 40C05, 40A35
Keywords: A-statistical convergence, A-density, AI-statistical convergence, AI-statistical limit point, AI-statistical cluster point, AI-density, AI-statistical boundedness 
Prasanta Malik; Samiran Das. AI-statistical limit points and AI-statistical cluster points. Filomat, Tome 36 (2022) no. 5, p. 1573 . doi: 10.2298/FIL2205573M
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     title = {AI-statistical limit points and {AI-statistical} cluster points},
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     doi = {10.2298/FIL2205573M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2205573M/}
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