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Subspaces of A-statistically convergent sequences

Studia Scientiarum Mathematicarum Hungarica, 2003
Let A be a nonnegative regular summability method. In this paper we deal with various subspaces of A-statistically convergent sequences by using the rate of convergence concept. We show, under certain conditions, that these subspaces cannot be endowed with a locally convex FK-topology. We also describe multipliers for bounded A-statistically convergent
Demirci, K., Khan, M.K., Orhan, C.
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Generalized Limits and Statistical Convergence

Mediterranean Journal of Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yurdakadim, T.   +3 more
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Density by moduli and statistical convergence

Quaestiones Mathematicae, 2014
By using modulus functions we introduce a new concept of density for sets of natural numbers. Consequently, we obtain a generalization of the notion of statistical convergence which is studied and characterized. As an application, we prove that the ordinary convergence is equivalent to the module statistical convergence for every unbounded modulus ...
Aizpuru, A   +2 more
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On lacunary statistical convergence of double sequences and some properties in fuzzy normed spaces

Journal of Intelligent & Fuzzy Systems, 2018
In this study, we have investigated the concepts of lacunary summable, lacunary statistical convergence and lacunary statistically Cauchy sequence for double sequences in fuzzy normed spaces.
Muhammed Recai Türkmen, E. Dündar
semanticscholar   +1 more source

On statistical convergence with respect to power series methods

Positivity (Dordrecht), 2022
M. Ünver, N. Ş. Bayram
semanticscholar   +1 more source

λ- statistical convergence in fuzzy normed linear spaces

Journal of Intelligent & Fuzzy Systems, 2018
In this paper, we have introduced λ- statistical convergence and condition of being λ- statistical Cauchy of real number sequences in fuzzy normed linear spaces.
Muhammed Recai Türkmen   +1 more
semanticscholar   +1 more source

On Generalizations of Statistical Convergence and Lacunary Statistical Convergence in Neutrosophic Normed Spaces

Mathematical Notes
The idea of statistical convergence was formerly given the name ``almost convergence'' by A. Zygmund in the first edition of his celebrated monograph, published in Warsaw in 1935 (see [\textit{A. Zygmund}, Trigonometric series. Volumes I and II combined. With a foreword by Robert Fefferman. 3rd ed.
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