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Statistical limit point theorems [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
It is known that given a regular matrix A and a bounded sequence x there is a subsequence (respectively, rearrangement, stretching) y of x such that the set of limit points of Ay includes the set of limit points of x.
Jeff Zeager
doaj   +4 more sources

New Results on I2-Statistically Limit Points and I2-Statistically Cluster Points of Sequences of Fuzzy Numbers

open access: yesJournal of Function Spaces, 2021
In this paper, some existing theories on convergence of fuzzy number sequences are extended to I2-statistical convergence of fuzzy number sequence. Also, we broaden the notions of I-statistical limit points and I-statistical cluster points of a sequence ...
Ö. Kişi, M. B. Huban, M. Gürdal
doaj   +8 more sources

Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy Numbers [PDF]

open access: yesAdvances in Fuzzy Systems, 2012
The aim of present work is to introduce and study lacunary statistical limit and lacunary statistical cluster points for generalized difference sequences of fuzzy numbers.
Pankaj Kumar, Vijay Kumar, S. S. Bhatia
doaj   +5 more sources

Statistical limit points [PDF]

open access: yesProceedings of the American Mathematical Society, 1993
Following the concept of a statistically convergent sequence x x , we define a statistical limit point of x x as a number λ \lambda that is the limit of a subsequence { x k ( j )
J. Fridy, Andrew M. Bruckner
semanticscholar   +2 more sources

I-statistical limit points and I-statistical cluster points

open access: yesProyecciones (Antofagasta), 2019
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 ...
P. Malik, Argha Ghosh, Samiran Das
semanticscholar   +6 more sources

On statistical limit points [PDF]

open access: yesProceedings of the American Mathematical Society, 2000
The set of all statistical limit points of a given sequence x n x_n is characterized as an F σ F_\sigma -set. It is also characterized in terms of discontinuity points of distribution functions of x n x_n .
P. Kostyrko
semanticscholar   +3 more sources

Ideal statistically limit points and ideal statistically cluster points of triple sequences of fuzzy numbers

open access: yesJournal of Classical Analysis, 2022
. In this paper we extend the notions of ideal statistical limit points and ideal statistical cluster points for a sequence of fuzzy numbers. We introduce the notions ideal statistical limit points and ideal statistical cluster points of a triple ...
Ö. Kişi, Verda Gürdal, M. Huban
semanticscholar   +3 more sources

Extremal A-statistical limit points via ideals

open access: yesJournal of the Egyptian Mathematical Society, 2014
The authors present the idea of \(A\)-summability with respect to an ideal and make certain observations. Moreover, they study the concepts of extremal \(A^{I}\)-statistical limit points. They also prove some theorems.
M. Gürdal, H. Sarı
semanticscholar   +3 more sources

ON LACUNARY STATISTICAL LIMIT POINTS

open access: yesDemonstratio Mathematica, 2002
In this paper we study the concepts of lacunary statistical limit points and lacunary statistical cluster points as well as the concept of lacunary statistical core for a bounded complex number sequence.
K. Demirci
semanticscholar   +4 more sources

On Statistical Limit Points in a Fuzzy Valued Metric Space

open access: yesInternational Journal of Fuzzy Systems and Advanced Applications, 2022
We introduce the concepts statistical cluster and statistical limit points of a sequence of fuzzy numbers in a fuzzy valued metric space. Then we obtain some inclusion relations between the sets of limit points, statistical limit points and statistical ...
S. Aytar, U. Yamancı, M. Gürdal
semanticscholar   +3 more sources

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