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Lacunary statistical convergence and strongly lacunary summable for sequences of dual numbers
Journal of Intelligent & Fuzzy Systems, 2019Dual 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, 2001Zwei 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, 2008Let $(t_k)_{k=0}^{\infty}$ 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, 1995The 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, 2009zbMATH 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 SeriesThe 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
2019This 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, 2013Hafize Gumus
exaly
On almost p-bounded variation of lacunary sequences
Computers and Mathematics With Applications, 2011Vatan Karakaya
exaly
Some new sequence spaces defined by lacunary sequences
Mathematica Slovaca, 2007Vatan Karakaya
exaly

