Results 11 to 20 of about 127 (105)
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]
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
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
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
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
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
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
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
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
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

