Results 61 to 70 of about 250 (174)

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

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
openaire   +4 more sources

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

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

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

Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β)

Journal of Function Spaces, 2018
We first define the notion of lacunary statistical convergence of order (α,β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n-normed spaces with the help of Musielak-Orlicz function M=(Mk) of ...
S. A. Mohiuddine, Sunil K. Sharma, Dina A. Abuzaid   +2 more
doaj   +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

Synthesis Strategies and Structures of Molecular Heterometallic Oxo Clusters

ChemPlusChem, Volume 89, Issue 12, December 2024.
This review presents an interdisciplinary search of multinuclear heterometallic oxo clusters, regardless of the type of ligand, to explain and classify their synthesis strategies and structures. By cataloging crystallographically characterized heterometallic oxo clusters using ligand‐per‐metal values and synthesis method notations, valuable insights ...
Takuo Minato
wiley   +1 more source

Geometric ZWEIER Convergent Lacunary Sequence Spaces

, 2020
The main purpose of this paper is to introduce lacunary strong geometric zweier convergent sequence spaces $N_{ }^{0} \left[Z\left(G\right)\right]$, $N_{ } \left[Z\left(G\right)\right]$, $N_{ }^{\infty } \left[Z\left(G\right)\right]$consisting of all sequences $x=\left(x_{k} \right)$such that $\left[Z\left(G\right)\right]x$ are in the spaces $N_{ }^
Singh, S., Dutta, S.
openaire   +2 more sources