Results 51 to 60 of about 4,067 (192)

Antibacterial Activity of Heteropolytungstates Against Proteus mirabilis

European Journal of Inorganic Chemistry, EarlyView.
We investigated the in vitro antibacterial activity of several heteropolytungstates against P. mirabilis, a drug‐resistant pathogen. All tested polyanions inhibited bacterial growth, with the Preyssler–Pope–Jeannin polyanion P5W30 exhibiting the highest activity (MIC = 0.78 mg/mL).
Nour El Ghouch, Ahmad Asaad, Rana El Hajj, Sahar Khandan, Matthias S. Ullrich, Ulrich Kortz   +5 more
wiley   +1 more source

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

On Metric Ramsey-type Dichotomies

, 2002
The classical Ramsey theorem, states that every graph contains either a large clique or a large independent set. Here we investigate similar dichotomic phenomena in the context of finite metric spaces.
Bartal, Yair, Linial, Nathan, Mendel, Manor, Naor, Assaf   +3 more
core   +3 more sources

Polyoxometalates for Health, Electronics, Energy, and the Environment: Challenges, Opportunities, and Future Horizons

ChemistryEurope, Volume 4, Issue 5, May 2026.
Polyoxometalates (POMs), illustrated as lemon‐like cars racing along a winding road, symbolize the accelerating progress of POM research toward technological applications. Global research communities, recent advances, and emerging opportunities highlight how coordinated efforts drive the transition of POM science from molecular discovery to deployable ...
Kirill Monakhov, Stanislav K. Petrovskii, De‐Liang Long, May Nyman, Axel Kahnt, Jonas Warneke, Chris Ritchie, Tatjana N. Parac‐Vogt, Scott G. Mitchell, Yu‐Fei Song, Marco Moors, Anna Proust, Dominique Vuillaume, Masahiro Sadakane, Graham N. Newton, Haralampos N. Miras   +15 more
wiley   +1 more source

Lacunary differentiability of functions in

Journal of Approximation Theory, 1984
AbstractThe existence of directional derivatives of functions in the Sobolev spaces Lpk(Rn) is studied. The novelty consists in calculating them through lacunary incremental quotients. Under these conditions no restrictions on p are necessary; the condition p > (nk) can be dropped.
openaire   +1 more source

Maximal functions with polynomial densities in lacunary directions [PDF]

Transactions of the American Mathematical Society, 2002
In the plane, the authors consider the maximal operator \[ M_p f(x_1,x_2)= \sup_{h>0, i,j\in\mathbb{Z}} {1\over h} \int^h_0|f(x_1- 2^i p(t),\;x_2- 2^j p(t))|dt, \] where a real one variable polynomial \(p(t)\) with \(p(0)= 0\) is given. They prove that \(M_p\) is bounded on \(L^p(\mathbb{R}^2)\) for \(q> 1\) with bounds that only depend on the degree ...
HARE K, RICCI, Fulvio
openaire   +3 more sources

Moderate Deviation Principles for Lacunary Trigonometric Sums

Mathematische Nachrichten, Volume 299, Issue 5, Page 1028-1044, May 2026.
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

Weighted modulus Sθ-convergence of order α in probability

Arab 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, Mandobi Banerjee, Avishek Ghosh   +2 more
doaj   +1 more source

Directional discrepancy in two dimensions

, 2009
In the present paper, we study the geometric discrepancy with respect to families of rotated rectangles. The well-known extremal cases are the axis-parallel rectangles (logarithmic discrepancy) and rectangles rotated in all possible directions ...
Bilyk, Dmitriy, Ma, Xiaomin, Pipher, Jill, Spencer, Craig   +3 more
core   +1 more source

Research Progress of Polyoxometalate‐Integrated Frameworks: Syntheses, Properties, and Applications

ChemistryEurope, Volume 4, Issue 4, April 2026.
This review systematically summarizes the integration of polyoxometalates with covalent organic frameworks, metal‐organic frameworks, hydrogen‐bonded organic frameworks, and emerging porous hosts. It highlights synergistic effects, synthesis strategies, and applications in catalysis, energy storage, sensing, and biomedicine, while addressing current ...
De‐Yin Wang, Zhang‐Di Liu, Rui Xing, Zi‐Hao Wei, Zaixiang Zhang, Yang Yang, Jin Zhu   +6 more
wiley   +1 more source