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Lacunary statistical convergence of sequences of fuzzy numbers
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fatih Nuray
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Lacunary strongly Δ-convergent sequences of fuzzy numbers
Information Sciences, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On lacunary generalized statistical convergent complex uncertain triple sequence
Journal of Intelligent & Fuzzy Systems, 2021In this work, we study the lacunary I -statistical convergence concept of complex uncertain triple sequence. Four types of lacunary I -statistically convergent complex uncertain triple sequences are presented, namely lacunary I -statistical convergence ...
I. A. Demirci, Mehmet Gürdal
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Orlicz lacunary sequence spaces of 𝑙-fractional difference operators
, 2020Recently, S. K. Mahato and P. D. Srivastava [A class of sequence spaces defined by 𝑙-fractional difference operator, preprint 2018, http://arxiv.org/abs/1806.10383] studied 𝑙-fractional difference sequence spaces. In this article, we intend to make a new
K. Raj, K. Saini, A. Choudhary
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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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Double lacunary density and lacunary statistical convergence of double sequences
Studia Scientiarum Mathematicarum Hungarica, 2010In 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
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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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Noncommutative discrete spherical maximal inequalities over a lacunary sequence
Bulletin of the London Mathematical SocietyThis paper establishes the noncommutative maximal inequality for discrete spherical averages over a lacunary sequence. Our main result extends the work of Hughes [J. Anal. Math. 138 (2019), no.
Wenjuan Li, Qi Sun, Lian Wu
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On the Lacunary (A, φ)-Statistical Convergence of Double Sequences
Ukrainian Mathematical Journal, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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