Results 71 to 80 of about 2,765 (179)
Lacunary sequences related to statistical convergence
Annals of Communications in Mathematics, 2020 In this manuscript, our concern is to introduce the new approach of studying the lacunary almost statistical convergence and strongly almost convergence of the generalized difference sequences of fuzzy numbers. Some interesting and basic properties concerning them will be studied.
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Quasi-Almost Lacunary Statistical Convergence of Sequences of Sets
International Journal of Analysis and Applications, 2018 In this study, we defined concepts of Wijsman quasi-almost lacunary convergence, Wijsman quasi-strongly almost lacunary convergence and Wijsman quasi q-strongly almost lacunary convergence.
Esra Gulle, Ugur Ulusu
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Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order
International Journal of Mathematics and Mathematical Sciences, 2015 We generalize the lacunary statistical convergence by introducing the generalized difference operator Δνα of fractional order, where α is a proper fraction and ν=(νk) is any fixed sequence of nonzero real or complex numbers.
Ugur Kadak
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Sequences with long range exclusions [PDF]
, 2013 Given an alphabet $S$, we consider the size of the subsets of the full sequence space $S^{\rm {\bf Z}}$ determined by the additional restriction that $x_i\not=x_{i+f(n)},\ i\in {\rm {\bf Z}},\ n\in {\rm {\bf N}}.$ Here $f$ is a positive, strictly ...
Eloranta, Kari
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A variation on lacunary statistical quasi cauchy sequences
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2017 In this paper, the concept of a lacunary statistically -quasi-Cauchysequence is investigated. In this investigation, we proved interesting theoremsrelated to lacunary statisticallycontinuities. A real valued function f de…ned on a subset A of R, the set ofreal numbers, is called lacunary statisticallyserves lacunary statistically delta quasi-Cauchy ...
CAKALLI, Hüseyin, KAPLAN, Hüseyin
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New Perspectives on Generalised Lacunary Statistical Convergence of Multiset Sequences
MathematicsThis paper explores the concepts of J-lacunary statistical limit points, J-lacunary statistical cluster points, and J-lacunary statistical Cauchy multiset sequences.
María C. Listán-García +2 more
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ITM Web of Conferences, 2018 The notion of the α th order Δim - lacunary statistical convergence and α th order lacunary strongly (Δim, p)-summable sequences was introduced by Altınok et al. [1].
Et Mikail +2 more
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On an Erdős similarity problem in the large
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1801-1818, June 2025.Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao +2 more
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Ergodic averages along sequences of slow growth
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We consider pointwise almost everywhere convergence of weighted ergodic averages along the sequence Ω(n)$ \Omega (n)$, where Ω(n)$ \Omega (n)$ denotes the number of prime factors of n$ n$ counted with multiplicities. It was previously shown that a pointwise ergodic theorem for L∞$L^\infty$ functions does not hold along Ω(n)$ \Omega (n)$.
Kaitlyn Loyd, Sovanlal Mondal
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Lacunary statistical convergence and inclusion properties between lacunary methods
International Journal of Mathematics and Mathematical Sciences, 2000 A lacunary sequence is an increasing integer sequence θ={kr} such that kr−kr−1→∞ as r→∞. A sequence x is called sθ-convergent to L provided that for each ϵ>0, limr(1/(kr−kr−1)){the number of kr ...
Jinlu Li
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