Results 71 to 80 of about 869,302 (176)

Quasi-lacunary invariant statistical convergence of sequences of sets

, 2020
In this study, we give definitions of Wijsman quasi-lacunary invariant convergence, Wijsman quasi-strongly lacunary invariant convergence and Wijsman quasi-strongly q-lacunary invariant convergence for sequences of sets.
Gülle, Esra, Ulusu, Uğur
core   +3 more sources

More Than a Buffer in Biochemistry: Tris as an Architect and Gatekeeper of Metal–Oxo Assembly

Angewandte Chemie International Edition, Volume 65, Issue 13, 23 March 2026.
Tris(hydroxymethyl)aminomethane, depicted as an octopus, acts as an alkoxy ligand, chelator, and structure‐directing buffer that programs polyoxometalate's speciation, nucleation, and heterometal insertion in aqueous solution. ABSTRACT Polyoxometalates (POMs, molecular metal–oxo clusters) are typically studied and applied in aqueous media, where ...
Nadiia I. Gumerova, Annette Rompel
wiley   +1 more source

The dimension of well approximable numbers

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In this survey article, we explore a central theme in Diophantine approximation inspired by a celebrated result of Besicovitch on the Hausdorff dimension of well approximable real numbers. We outline some of the key developments stemming from Besicovitch's result, with a focus on the mass transference principle, ubiquity and Diophantine ...
Victor Beresnevich, Sanju Velani
wiley   +1 more source

On some aspects of lacunary I $\mathcal{I}$ -statistical convergence and its applications in approximation theory via power series method

Journal of Inequalities and Applications
This paper introduces and systematically explores the notion of deferred I $\mathcal{I}$ -lacunary statistical convergence and strongly deferred I $\mathcal{I}$ -lacunary Cesàro convergence for sequences of real numbers, unifying deferred intervals ...
Xiu-Liang Qiu, Humma Javed Sheikh, Kuldip Raj, Qing-Bo Cai   +3 more
doaj   +1 more source

On strongly I and I*-lacunary convergence of sequences of sets [PDF]

AIP Conference Proceedings, 2014
In this paper we study the concepts of Wijsman strongly lacunary convergence, Wijsman strongly I-lacunary convergence, Wijsman strongly I*-lacunary convergence and Wijsman strongly I-lacunary Cauchy sequences of sets and investigate the relationship between them.
Sever, Yurdal, Ulusu, Uğur, Dündar, Erdinç   +2 more
openaire   +4 more sources

Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order

International 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

On the fractional parts of lacunary sequences

MATHEMATICA SCANDINAVICA, 2006
In this paper, we prove that if $t_0, t_1, t_2, \dots$ is a lacunary sequence, namely, $t_{n+1}/t_n\geq 1+r^{-1}$ for each $n\geq 0$, where $r$ is a fixed positive number, then there are two positive constants $c(r)=\max(1-r, 2(3r+6)^{-2})$ and $\xi=\xi(t_0, t_1,\dots)$ such that the fractional parts $\{\xi t_n\}$, $n=0,1,2,\dots$, all belong to a ...
openaire   +2 more sources

Some Paranormed Sequence Spaces Which Involve Arithmetic Divisor Sum Function

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Let Dr, r ≥ 0, be a triangle and q = (qj) be a bounded sequence of strictly positive numbers. In this paper, we study the algebraic and topological properties of the paranormed sequence space ℓDr,q, generated by the triangle Dr over Maddox′s space ℓ(q). We identify the Schauder basis as well as the α‐, β‐, and γ‐duals of the space ℓDr,q. One section is
Ting Gan, Taja Yaying, Orhan Tuğ, Ömer Kisi, Qing-Bo Cai, Nikhil Khanna   +5 more
wiley   +1 more source

Lacunary statistically upward half quasi-Cauchy sequences

, 2015
A real valued function defined on a subset E of R, the set of real numbers, is lacunary statistically upward continuous if it preserves lacunary statistically upward half quasi -Cauchy sequences where a sequence (x,) of points in R is called lacunary ...
MUCUK, Osman, Osman Mucuk, Huseyin Cakalli, Cakalli, Huseyin   +3 more
core   +1 more source

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

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
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. For a nonempty subset A of X, we define the bicomplex point‐to‐set distance by ρ(x, A) = d1(x, A)e1 + d2(x, A)e2.
Ameni Gargouri, Mehmet Gürdal, Ömer Kişi, Abdelwaheb Mhemdi, Maria Alessandra Ragusa   +4 more
wiley   +1 more source