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A new variation on statistically quasi Cauchy sequences
AIP Conference Proceedings, 2018International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 25-30, 2017 -- Thessaloniki ...
H. Cakalli
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Some Results on f-Statistical Convergence of Double Sequences [PDF]
Ikonion journal of mathematicsThis study focuses on developing and examining new definitions related to statistical convergence, modulus functions, and σ-density in 2-normed spaces. We explore various relationships between statistical f_σ-convergence, f_σ-statistical convergence, f_σ-
Ö. Kişi, M. Gürdal
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Statistical Convergence and Cauchy Sequences in Quasi-Metric Spaces
Proceedings of the National Academy of Sciences, India Section A: Physical SciencesA. Bulut, C. Choudhury, M. Küçükaslan
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I2-Convergence and I2-Cauchy Double Sequences
Acta Mathematica Scientia, 2014 In this article, we prove a decomposition theorem for I-2-convergent double sequences and introduce the notions of I-2-Cauchy and I-2(*)-Cauchy double sequence, and then study their certain properties.
Bilâl Altay
exaly +4 more sources
Lacunary statistical backward quasi Cauchy sequences on asymmetric spaces
AIP Conference ProceedingsF. Dagci, Hüseyin Çakallı
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STATISTICALLY PRE-CAUCHY SEQUENCES
Analysis, 1994Summary: A sequence \(x = \langle x_ k \rangle\) is statistically pre-Cauchy if \[ \lim_ n n^{-2} \biggl | \bigl \{ (j,k) : | x_ k - x_ j | \geq \varepsilon\;j,k \leq n \bigr \} \biggr | = 0 \] for every \(\varepsilon>0\). Statistically convergent sequences are statistically pre-Cauchy and any bounded statistically pre-Cauchy sequence with a nowhere ...
Connor, J., Fridy, J., Kline, J.
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Ideal statistically quasi Cauchy sequences
AIP Conference Proceedings, 2016An ideal I is a family of subsets of N, the set of positive integers which is closed under taking finite unions and subsets of its elements. A sequence (xk) of real numbers is said to be S(I)-statistically convergent to a real number L, if for each e > 0 and for each δ > 0 the set {n∈N:1n|{k≤n:|xk−L|≥e}|≥δ} belongs to I. We introduce S(I)-statistically
Savas, Ekrem, Cakalli, Huseyin
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On Statistically Pre-Cauchy Sequences of Complex Uncertain Variables Defined by Orlicz Functions
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2023In this treatise, we define statistically pre-Cauchy sequences of complex uncertain variable for five cases of uncertainty viz., in mean, in measure, in distribution, in almost surely and in uniformly almost surely and we confine our study to statistically pre-Cauchy sequence in mean, in measure and in distribution only.
Jagannath Nath +3 more
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Lacunary statistically upward half quasi-Cauchy sequences
AIP Conference Proceedings, 2015Badji Mokhtar Annaba University;Fatih University;Institute of Mathematics and Mathematical ...
Cakalli, Huseyin, MUCUK, Osman
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