Results 41 to 50 of about 2,765 (179)
Variations on strong lacunary quasi-Cauchy sequences
We introduce a new function space, namely the space of Nθ (p)-ward continuous functions, which turns out to be a closed subspace of the space of continuous functions for each positive integer p. Nθα(p)-ward continuity is also introduced and investigated for any fixed 0 < α ≤ 1, and for any fixed positive integer p. A real valued function f defined on a
Kaplan, Huseyin, Cakalli, Huseyin
openaire +5 more sources
Hibrid Δ-Statistical Convergence for Neutrosophic Normed Space
This study is about neutrosophic structures, which is one of the popular topics of recent days. In this study, different types of convergence concepts were applied to difference sequences.
Nazmiye Gonul Bilgin
doaj +1 more source
Rigidity and Non-recurrence along Sequences
Two properties of a dynamical system, rigidity and non-recurrence, are examined in detail. The ultimate aim is to characterize the sequences along which these properties do or do not occur for different classes of transformations.
A. DEL JUNCO +25 more
core +1 more source
Biomimetic Hierarchical Construction of Anti‐Tumor Polyoxopalladates for Cancer Therapy
Engineering of lacunary polyoxopalladates resulted in a hierarchical assembly that resembles the construction of biomacromolecules. An ordered structural evolution from monomer via dimer to supramolecular aggregates was achieved by cooperative covalent and supramolecular bonding effects, resulting in enhanced anti‐tumor activity via DNA damage ...
Yue Zhao +9 more
wiley +2 more sources
Lacunary I_2-Invariant Convergence and Some Properties
In this paper, the concept of lacunary invariant uniform density of any subset $A$ of the set $\mathbb{N}\times\mathbb{N}$ is defined. Associate with this, the concept of lacunary $\mathcal{I}_2$-invariant convergence for double sequences is given. Also,
Ugur Ulusu, Erdinc Dundar, Fatih Nuray
doaj +2 more sources
Star Discrepancy Bounds of Double Infinite Matrices induced by Lacunary Systems [PDF]
In 2001 Heinrich, Novak, Wasilkowski and Wo\'zniakowski proved that the inverse of the star discrepancy satisfies $n(d,\varepsilon)\leq c_{\abs}d \varepsilon^{-2}$ by showing that there exists a set of points in $[0,1)^d$ whose star-discrepancy is ...
Löbbe, Thomas
core
Non-recurrence sets for weakly mixing linear dynamical systems
We study non-recurrence sets for weakly mixing dynamical systems by using linear dynamical systems. These are systems consisting of a bounded linear operator acting on a separable complex Banach space X, which becomes a probability space when endowed ...
de Mathan +3 more
core +1 more source
Moderate Deviation Principles for Lacunary Trigonometric Sums
ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley +1 more source
On lacunary Toeplitz determinants [PDF]
By using Riemann--Hilbert problem based techniques, we obtain the asymptotic expansion of lacunary Toeplitz determinants $\det_N\big[ c_{\ell_a-m_b}[f] \big]$ generated by holomorhpic symbols, where $\ell_a=a$ (resp.
Kozlowski, K. K.
core
Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms
Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
wiley +1 more source

