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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
Sinan Ercan, Hifsi Altinok, Yavuz Altin
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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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An Approximation by Lacunary Sequence of Vectors

Combinatorics, Probability and Computing, 2008
Let $(t_k)_{k=0}^{\infty}$ be a sequence of real numbers satisfying $t_0 \ne 0$ and $|t_{k+1}| \geq (1+1/M) |t_{k}|$ for each k ≥ 0, where M ≥ 1 is a fixed number. We prove that, for any sequence of real numbers $(\xi_k)_{k=0}^{\infty}$, there is a real number ξ such that $\|t_k \xi-\xi_k\|>1/(80M \log(28M))$ for each k ≥ 0.
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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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An approximation property of lacunary sequences

Israel Journal of Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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   +4 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   +2 more
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A generalization on ℐ-asymptotically lacunary statistical equivalent sequences

Journal of Inequalities and Applications, 2013
Hafize Gumus
exaly  

On almost p-bounded variation of lacunary sequences

Computers and Mathematics With Applications, 2011
Vatan Karakaya
exaly  

Some new sequence spaces defined by lacunary sequences

Mathematica Slovaca, 2007
Vatan Karakaya
exaly  

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