Results 71 to 80 of about 1,546,174 (193)

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

The Role of Lacunary Statistical Convergence for Double sequences in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
This paper introduces and explores the concept of lacunary statistical convergence of double sequence within the framework neutrosophic normed spaces. Neutrosophic normed spaces extend classical normed spaces by incorporating neutrosophic numbers, which ...
Jenifer. P, Jeyaraman. M
doaj   +1 more source

On a Generalized Difference Sequence Spaces of Fractional Order associated with Multiplier Sequence Defined by A Modulus Function

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
Let Γ(m) denotes the gamma function of a real number m∉{0,-1,-2,…}. Then the difference matrix Δ^α of a fractional order α is defined as (Δ^α v)_k=∑_i〖(-1)^i (Γ(α+1))/(i!Γ(α-i+1)) v_(k+i) 〗.Using the difference operator Δ^α, we introduce paranormed ...
Taja Yayıng
doaj   +1 more source

Rough statistical convergence on triple sequence of the Bernstein operator of random variables in probability [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2019
This paper aims to improve further on the work of Phu (2001), Aytar (2008), and Ghosal (2013). We propose a new apporach to extend the application area of rough statistical convergence usually used in triple sequence of the Bernstein operator of real ...
Nagarajan Subramanian, Ayhan Esi, Mustafa Kemal Ozdemir   +2 more
doaj   +1 more source

Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms

Mathematika, Volume 72, Issue 2, April 2026.
Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
wiley   +1 more source

ON LACUNARY CONVERGENCE IN CREDIBILITY SPACE [PDF]

, 2022
In this paper, we present the notions of lacunary statistically convergent sequence for fuzzy variables, lacunary statistically Cauchy sequence in credibility space, and present a kind of lacunary statistical completeness for credibility space.
Gürdal, Mehmet, Kişi, Ömer, Savaş, Ekrem   +2 more
core   +1 more source

Generalized Rough Cesaro and Lacunary Statistical Triple Difference Sequence Spaces in Probability of Fractional Order Defined by Musielak-Orlicz Function

International Journal of Analysis and Applications, 2018
We generalized the concepts in probability of rough Ces$\grave{a}$ro and lacunary statistical by introducing the difference operator $\Delta^{\alpha}_{\gamma}$ of fractional order, where $\alpha$ is a proper fraction and $\gamma=\left(\gamma_{mnk}\right)$
A. Esi, N. Subramanian
doaj   +2 more sources

Analogues of Whittker's theorem for Laplace-Stieltjes integrals

Karpatsʹkì Matematičnì Publìkacìï, 2016
For the maximum of the integrand of Laplace-Stieltjes integral the lower estimates on sequence are found. Using the estimates we obtained analogues of Whittaker's theorem for entire functions given by lacunary power series.
M.S. Dobushovskyy, M.M. Sheremeta
doaj   +1 more source

Some Geometric Properties of Lacunary Sequence Spaces Related to Fixed Point Property

Abstract and Applied Analysis, 2011
The main purpose of this paper is considering the lacunary sequence spaces defined by Karakaya (2007), by proving the property (β) and Uniform Opial property.
Chirasak Mongkolkeha, Poom Kumam
doaj   +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