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Extremal discrepancy behavior of lacunary sequences

Extremal discrepancy behavior of lacunary sequences
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Lacunary statistically upward half quasi-Cauchy sequences

AIP Conference Proceedings, 2015
Badji Mokhtar Annaba University;Fatih University;Institute of Mathematics and Mathematical ...
Cakalli, Huseyin, MUCUK, Osman
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Double lacunary density and lacunary statistical convergence of double sequences

Studia Scientiarum Mathematicarum Hungarica, 2010
In this paper, we have defined double lacunary density and investigated the relation between statistical and lacunary statistical convergence of double sequences. Also, we have solved an inequality related to the lacunary statistical limit superior of real bounded double sequences.
Celal Çakan, Bilal Altay, Hüsamettin Çoşkun   +2 more
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Additive Completion of Lacunary Sequences

Combinatorica, 2001
Zwei Mengen \(A, B \subseteq \mathbb N\) heißen additive Komplemente, wenn ihre Summe \[ A+B=\{a+b \mid a\in A,\;b\in B\} \] alle genüngend großen natürlichen Zahlen enthält. Dabei gilt natürlich \(A(x)B(x)\geq x-K\) mit einer geeigneten Konstanten \(K\) \((A(x)\) Anzahl der Elemente der Menge \(A\), die \(\leq x\) sind).
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Asymptotically Wijsman lacunary sequences of order $$(\alpha ,\beta )$$

The Journal of Analysis, 2023
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Ravi Kumar, Sunil K. Sharma, Ajay K. Sharma   +2 more
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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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$$\mu $$ μ -statistical convergent double lacunary sequence spaces

Afrika Matematika, 2014
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Sharma, S. K., Esi, Ayhan
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Lacunary statistical convergence and strongly lacunary summable for sequences of dual numbers

Journal of Intelligent & Fuzzy Systems, 2019
Dual number algebra is a powerful mathematical tool for the kinematic and dynamic analysis of spatial mechanisms. The algebra of dual numbers has been originally conceived by Clifford [ 1 ], but its first applications to mechanics are due to Kotelnikov [ 2 ] and Study [ 3
Ercan, Sinan, Altinok, Hifsi, Altin, Yavuz   +2 more
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Lacunary strongly Δ-convergent sequences of fuzzy numbers

Information Sciences, 2004
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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
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