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Subspaces of A-statistically convergent sequences
Studia Scientiarum Mathematicarum Hungarica, 2003Let 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, 2015zbMATH 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, 2014By 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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Approximation via equi-statistical convergence in the sense of power series method
RACSAM, 2022K. Demirci, F. Dirik, S. Yıldız
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On lacunary statistical convergence of double sequences and some properties in fuzzy normed spaces
Journal of Intelligent & Fuzzy Systems, 2018In 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
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On statistical convergence with respect to power series methods
Positivity (Dordrecht), 2022M. Ünver, N. Ş. Bayram
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On $$\mu $$ μ -deferred statistical convergence and strongly deferred summable functions
RACSAM, 2021M. Et +3 more
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λ- statistical convergence in fuzzy normed linear spaces
Journal of Intelligent & Fuzzy Systems, 2018In 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
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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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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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Criteria for statistical convergence with respect to power series methods
, 2021Nilay Şahin Bayram
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