Results 91 to 100 of about 3,279 (212)

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

Double Lacunary Density and Some Inclusion Results in Locally Solid Riesz Spaces

Abstract and Applied Analysis, 2013
We define the notions of double statistically convergent and double lacunary statistically convergent sequences in locally solid Riesz space and establish some inclusion relations between them.
S. A. Mohiuddine, Bipan Hazarika, Abdullah Alotaibi   +2 more
doaj   +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

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

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

On lacunary statistically quasi-Cauchy sequences

, 2011
The main object of this paper is to investigate lacunary statistically ward continuity. We obtain some relations between this kind of continuity and some other kinds of continuities. It turns out that any lacunary statistically ward continuous real valued function on a lacunary statistically ward compact subset $E\subset{\textbf{R}}$ is uniformly ...
GÜNDÜZ, ÇİĞDEM, Çakallı, Hüseyin, Sönmez, Ayşe   +2 more
openaire   +3 more sources

Riesz lacunary uniform integrability and statistical convergence via power series method

Journal of Inequalities and Applications
In this paper, the concepts of Riesz lacunary statistical convergence, Riesz lacunary strong convergence, and Riesz lacunary uniform integrability of real sequences within the framework of power series are introduced and studied.
Jun-Jie Quan, Devia Narrania, Kuldip Raj, Qing-Bo Cai   +3 more
doaj   +1 more source

Orlicz-lacunary convergent triple sequences and ideal convergence

, 2022
Ömer Kı̇şı̇, Mehmet Gürdal
openalex   +2 more sources

Lacunary statistical convergence of multiple sequences

Applied Mathematics Letters, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Savas, Ekrem, Patterson, Richard F.
openaire   +3 more sources