Results 141 to 150 of about 200 (156)

An approximation property of lacunary sequences

Israel Journal of Mathematics, 2009
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Lacunary sequences and conditional independence

Acta Mathematica Hungarica, 1995
The following interesting structural theorem is proved: let \(\{X_n\}\) be an arbitrary (not necessarily tight) sequence of real random variables (r.v.) with tail \(\sigma\)-field \(\mathcal I\); then, after a suitable enlargement of the basic probability space, one can find a subsequence \(\{X_{n_k}\}\) and a sequence of r.v. \(\{Y_k\}\) such that the
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On lacunary I-convergence of sequence in credibility space

Annals of the University of Craiova Mathematics and Computer Science Series
The aim of this research article is to introduce the concept of lacunary ideal convergence of sequences of fuzzy variables in a credibility space in different directions. We define lacunary ideal convergence via credibility measure, credibility distribution function and expected value of the fuzzy variables which are indeed elements of the sequences ...
Das, Mousami, Kişi, Ömer, Tripathy, Binod chandra, Das, Birojit, Kişi, Ömer   +4 more
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Optimal bound for the discrepancies of lacunary sequences

Acta Arithmetica, 2013
The law of the iterated logarithm for discrepancies of lacunary sequences is studies. An optimal bound is given under very mild Diophantine type condition.
Christoph Aistleitner, Katusi Fukuyama, Yukako Furuya   +2 more
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LACUNARY STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCE

2019
This study introduces the concepts of lacunary statistical convergence of complex uncertain sequences: lacunary statistical convergence almost surely (S..a.s.), lacunary statistical convergence in measure, lacunary statistical convergence in mean, lacunary statistical convergence in distribution and lacunary statistically convergence uniformly almost ...
Kişi, Ömer, Ünal, Hatice Kübra, Kişi, Ömer   +2 more
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Wijsman asymptotic lacunary $$\mathcal {I}_2$$-invariant equivalence for double set sequences

Soft Computing, 2021
Uğur Ulusu, Erdinc Dundar, Dundar Erdinc   +2 more
exaly  

Lacunary Statistical Equivalence of Order $$\eta$$ for Double Sequences of Sets

Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 2023
Uğur Ulusu
exaly  

On almost p-bounded variation of lacunary sequences

Computers and Mathematics With Applications, 2011
Ekrem Savas, Vatan Karakaya
exaly  

Some new sequence spaces defined by lacunary sequences

Mathematica Slovaca, 2007
Vatan Karakaya
exaly  

Lacunary statistical convergence of double sequences and some inclusion results in n-normed spaces

Acta Mathematica Vietnamica, 2013
Bipan Hazarika, Ekrem Savas, Hazarika Bipan   +2 more
exaly