Results 41 to 50 of about 211 (159)

Lacunary I_2-Invariant Convergence and Some Properties

International Journal of Analysis and Applications, 2018
In this paper, the concept of lacunary invariant uniform density of any subset $A$ of the set $\mathbb{N}\times\mathbb{N}$ is defined. Associate with this, the concept of lacunary $\mathcal{I}_2$-invariant convergence for double sequences is given. Also,
Ugur Ulusu, Erdinc Dundar, Fatih Nuray
doaj   +2 more sources

Graphene Oxide‐Supported Chromium‐Containing Polyoxometalate as an Efficient Heterogeneous Catalyst for Nitroarene Reduction Under Mild Conditions

Global Challenges, Volume 10, Issue 9, September 2026.
A chromium‐substituted monovacant Keggin polyanion was immobilized on the surface of graphene oxide. The obtained nanocatalyst showed high catalytic activity in the reduction of various nitroarenes under mild conditions. GC‐MS analysis confirmed the direct pathway for reduction of nitroarenes in the presence of the catalyst.
Maryam Khalaji‐Verjani, Majid Masteri‐Farahani, Alireza Badiei, Ghodsi Mohammadi Ziarani, Senem Akkoc, Mehran Feizi‐Dehnayebi   +5 more
wiley   +1 more source

Polyoxometalate@Metal–Organic Framework‐Based Imprinted Electrochemical Sensor for Dopamine Detection

Small Science, Volume 6, Issue 8, August 2026.
A synergistic assembly of molecularly imprinted polymer (MIP) and polyoxometalates@metal–organic framework (POM@MOF) is utilized to modify the electrode surface of a dopamine electrochemical sensor. POM@MOF enhances the sensitivity, while MIP enables selective discrimination against interferents.
Wenjing Wang, Di Wang, Srivatsan K. Vasantham, Hongrong Hu, Yan Liu, Andreas H. Schäfer, George Mathew, Navid Hussain, Masooma Ibrahim, Jasmin Aghassi‐Hagmann, Annie K. Powell, Michael Hirtz   +11 more
wiley   +1 more source

Applications of double lacunary sequences to n-norm [PDF]

Acta Universitatis Sapientiae, Mathematica, 2015
Abstract In the present paper we define some classes of double lacunary sequence spaces over n-normed spaces by means of a Musielak- Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relation among the classes are also examined.
Raj Kuldip, Sharma Sunil Kumar
openaire   +3 more sources

On strongly I-lacunary Cauchy sequences of sets

Contemporary Analysis and Applied Mathematics, 2012
In this study, we examinate the ideas of Wijsman strongly lacunary Cauchy, Wijsman strongly I-lacunary Cauchy and Wijsman strongly I^{∗}-lacunary Cauchy sequences of sets and investigate the relationship between them.
Dündar, Erdinç, Sever, Yurdal
openaire   +2 more sources

I-asymptotically lacunary statistical equivalent sequences in partial metric spaces [PDF]

Mathematica Moravica
The present study deals with I-asymptotically equivalent sequences in partial metric spaces. We define the notions of strongly I-asymptotically lacunary equivalent, I-asymptotically statistical equivalent, and I-asymptotically lacunary statistical ...
Or Aykut, Çakı Ahmet
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

On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this article, we introduce the lacunary difference sequence spaces w0(M, θ, Δnm, p, q), w1(M, θ, Δnm, p, q) and w∞(M, θ, Δnm, p, q) using a sequence M = (Mk) of Orlicz functions and investigate some relevant properties of these spaces. Then, we define
Tripathy Binod Chandra, Dutta Hemen
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

The Cesáro Lacunary Ideal bounded linear operator of χ2 - of φ-statistical vector valued defined by a bounded linear operator of interval numbers [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2017
Let   uv mn A be a sequence of bounded linear operators from a separable Banach metric space of (X , 0) into a Banach metric space (Y, 0). Suppose that φ ∈ Φ is a countable fundamental set of X and the ideal I - of subsets \mathbb{N} x \mathbb{N ...
Deepmala, N. Subramanian, Lakshmi Narayan Mishra   +2 more
doaj   +1 more source