Results 11 to 20 of about 127 (105)

Wijsman Statistical, Strong Cesàro, and Ideal Convergence of Closed Sets in Idempotent Bicomplex Metric Spaces

open access: yesJournal of Function Spaces
This paper studies generalized Wijsman convergence for sequences of nonempty closed subsets of an idempotent bicomplex metric space. Let ρ=d1e1+d2e2, where d1 and d2 are metrics on the same underlying set X.
Ameni Gargouri   +3 more
doaj   +2 more sources

Lessons Learned on Obtaining Reliable Conductivity Estimates From Molecular Dynamics Simulations. [PDF]

open access: yesChemphyschem
We present the newly implemented “conduct” module for TRAVIS. It allows the calculation of ionic conductivities from molecular dynamics simulations using the Einstein–Helfand and Green–Kubo approaches. We provide a broad overview of accessible transport properties and compare methods and best practices for obtaining statistically reliable estimates. To
Zaby P   +7 more
europepmc   +2 more sources

Statistical Convergence of Double Sequences of Order

open access: yesJournal of Function Spaces and Applications, 2013
We intend to make a new approach and introduce the concepts of statistical convergence of order and strongly -Cesàro summability of order for double sequences of complex or real numbers. Also, some relations between the statistical convergence of order
R. Çolak, Y. Altin
doaj   +1 more source

On the $\Delta _{{\Lambda ^2}}^f$-Statistical Convergence on Product Time Scale

open access: yesUniversal Journal of Mathematics and Applications, 2020
In this paper, we first define a new density of a $\Delta $-measurable subset of a product time scale ${\Lambda ^2}$ with respect to an unbounded modulus function.
Metin Basarır   +2 more
doaj   +1 more source

Weighted modulus Sθ-convergence of order α in probability

open access: yesArab Journal of Mathematical Sciences, 2017
Let θ={kr}r∈N∪{0} be a lacunary sequence, ϕ be a modulus function and {tn}n∈N be a sequence of real numbers such that tn>δ,∀n∈N (where δ is a fixed positive real number) and Tn=t1+t2+⋯+tn (where n∈N and T0=0).
Sanjoy Ghosal   +2 more
doaj   +1 more source

Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order

open access: yesInternational 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
doaj   +1 more source

Strong Convergence on Iterative Methods of Cesàro Means for Nonexpansive Mapping in Banach Space

open access: yesAbstract and Applied Analysis, 2014
Two new iterations with Cesàro's means for nonexpansive mappings are proposed and the strong convergence is obtained as n→∞. Our main results extend and improve the corresponding results of Xu (2004), Song and Chen (2007), and Yao et al. (2009).
Zhichuan Zhu, Rudong Chen
doaj   +1 more source

Penalized Convex Estimation in Dynamic Location Models

open access: yesJournal of Time Series Analysis, EarlyView.
ABSTRACT This paper studies L1$$ {L}^1 $$‐penalized estimation for location models yt=mt+ϵt$$ {y}_t={m}_t+{\epsilon}_t $$, where mt$$ {m}_t $$ is defined by a possibly non‐Markovian recursion and ϵt$$ {\epsilon}_t $$ is a martingale difference sequence with possibly time‐varying conditional variance.
Reda Alami Chentoufi
wiley   +1 more source

Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
wiley   +1 more source

On Elliott's conjecture and applications

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract Let f:N→D$f:\mathbb {N}\rightarrow \mathbb {D}$ be a multiplicative function. Under the merely necessary assumption that f$f$ is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts h1,h2$h_1,h_2$, the two‐point correlation 1x∑n⩽xf(n+h1)f¯(n+h2)$$\begin{equation*} \frac{1}{x}\sum _ ...
Oleksiy Klurman   +2 more
wiley   +1 more source

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