Results 71 to 80 of about 3,883 (229)

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, Yuveshen Mooroogen, Chi Hoi Yip   +2 more
wiley   +1 more source

Invariant means and lacunary sequence spaces of order (α, β)

Demonstratio Mathematica
In this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad, Nasiruzzaman Md., Sharma Sunil K., Cai Qing-Bo   +3 more
doaj   +1 more source

Some Geometric Properties of Lacunary Sequence Spaces Related to Fixed Point Property

Abstract and Applied Analysis, 2011
The main purpose of this paper is considering the lacunary sequence spaces defined by Karakaya (2007), by proving the property (β) and Uniform Opial property.
Chirasak Mongkolkeha, Poom Kumam
doaj   +1 more source

Rough statistical convergence on triple sequence of the Bernstein operator of random variables in probability [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2019
This paper aims to improve further on the work of Phu (2001), Aytar (2008), and Ghosal (2013). We propose a new apporach to extend the application area of rough statistical convergence usually used in triple sequence of the Bernstein operator of real ...
Nagarajan Subramanian, Ayhan Esi, Mustafa Kemal Ozdemir   +2 more
doaj   +1 more source

Lacunary statistical cluster points of sequences

Mathematical Communications, 2006
In this note we introduce the concept of a lacunary statistical cluster (l.s.c.) point and prove some of its properties in finite dimensional Banach spaces. We develop the method suggested by S. Pehlivan and M.A. Mamedov [20] where it was proved that under some conditions optimal paths have the same unique stationary limit point and stationary cluster ...
Serpil Pehli̇van, Mehmet Gürdal, Brian Fisher   +2 more
openalex   +4 more sources

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
wiley   +1 more source

Discatenated and lacunary recurrences [PDF]

Notes on Number Theory and Discrete Mathematics
Recursive sequences with gaps have been studied previously. This paper considers some elementary properties of such sequences where the gaps have been created on a regular basis from sequence to sequence – ‘discatenated’ (systematic gaps) and ‘lacunary’
Hakan Akkuş, Ömür Deveci, Engin Özkan, Anthony G. Shannon   +3 more
doaj   +1 more source

Epoxidation at Isolated Titanium Site Modeled by Ti‐Siloxy‐Polyoxometalates Built on [α–A–XW9O34]n− and [α–B–YW9O33]9−: Comparative Study of Their Hydrolytic Stability

ChemCatChem, Volume 17, Issue 1, January 9, 2025.
Small change, big effect. Although very similar, POM hybrids built on [XW9O34‐x]9− type A and type B structures show subtle variations that influence their interaction with water and their hydrolytic stability, with type A structures proving sensitive to hydrolysis whereas type B structures lead to stable epoxidation catalysts in contact with aqueous ...
Ludivine K/Bidi, Albert Solé‐Daura, Teng Zhang, Alix Desjonquères, Josep M. Poblet, Anna Proust, Jorge J. Carbó, Geoffroy Guillemot   +7 more
wiley   +1 more source

On Sequences With Exponentially Distributed Gaps

Random Structures &Algorithms, Volume 66, Issue 1, January 2025.
ABSTRACT It is well known that a sequence (xn)n∈ℕ⊆[0,1]$$ {\left({x}_n\right)}_{n\in \mathbb{N}}\subseteq \left[0,1\right] $$ which has Poissonian correlations of all orders necessarily has exponentially distributed nearest‐neighbor gaps. It is natural to ask whether this implication also holds in the other direction, that is, whether a sequence with ...
Christoph Aistleitner, Manuel Hauke, Agamemnon Zafeiropoulos   +2 more
wiley   +1 more source