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Lacunary statistical convergence of sequences of fuzzy numbers

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fatih Nuray
exaly   +3 more sources

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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On Some Double Lacunary Sequence Spaces of Fuzzy Numbers [PDF]

open access: yesMathematical and Computational Applications, 2010
In this paper we introduce a new concept for lacunary strong P-convergent with respect to an Orlicz function and examine some properties of the resulting sequence space of fuzzy numbers.
Savaş, Ekrem
exaly   +3 more sources

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   +2 more
openaire   +1 more source

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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On the Lacunary (A, φ)-Statistical Convergence of Double Sequences

Ukrainian Mathematical Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The lonely runner problem for lacunary sequences

Discrete Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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