Results 41 to 50 of about 374 (176)

lacunary directional maximal function on the Heisenberg group [PDF]

Mathematical Research Letters, 2004
Let \(K=(k_1,k_2,k_3)\in{\mathbb Z}^3\) and \(v_K=(2^{k_1}, 2^{k_2}, 2^{k_3}).\) Let \(\mathbb H^1\) be the Heisenberg group identified with \({\mathbb R}^2\times {\mathbb R}^1\) endowed with the group multiplication: \[ (p,q,t)\cdot(p',q',t')=(p+p',q+q', t+t'+2(p'\cdot q-p\cdot q')).
openaire   +2 more sources

Antibacterial Activity of Heteropolytungstates Against Proteus mirabilis

European Journal of Inorganic Chemistry, Volume 29, Issue 18, 22 June 2026.
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

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

Lacunary Generating Functions for the Laguerre Polynomials

, 2013
Symbolic methods of umbral nature play an important and increasing role in the theory of special functions and in related fields like combinatorics. We discuss an application of these methods to the theory of lacunary generating functions for the Laguerre polynomials for which we give a number of new closed form expressions.
Babusci, Danilo, Dattoli, Giuseppe, Górska, Katarzyna, Penson, Karol   +3 more
openaire   +3 more sources

Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces

Abstract and Applied Analysis, 2014
We introduce some vector-valued sequence spaces defined by a Musielak-Orlicz function and the concepts of lacunary convergence and strong (A)-convergence, where A=(aik) is an infinite matrix of complex numbers.
M. Mursaleen, A. Alotaibi, Sunil K. Sharma   +2 more
doaj   +1 more source

Density by moduli and Wijsman lacunary statistical convergence of sequences of sets

Journal of Inequalities and Applications, 2017
The main object of this paper is to introduce and study a new concept of f-Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded modulus.
Vinod K Bhardwaj, Shweta Dhawan
doaj   +1 more source

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

Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β)

Journal of Function Spaces, 2018
We first define the notion of lacunary statistical convergence of order (α,β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n-normed spaces with the help of Musielak-Orlicz function M=(Mk) of ...
S. A. Mohiuddine, Sunil K. Sharma, Dina A. Abuzaid   +2 more
doaj   +1 more source

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