Results 71 to 80 of about 1,622,947 (195)

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

On lacunary statistical boundedness [PDF]

, 2014
A new concept of lacunary statistical boundedness is introduced. It is shown that, for a given lacunary sequence θ={kr}, a sequence {xk} is lacunary statistical bounded if and only if for ‘almost all k w.r.t.
Vinod K Bhardwaj, Sandeep Gupta, Syed A Mohiuddine, Kilicman, Adem, Adem Kılıçman, Vinod K Bhardwaj, Gupta, Sandeep, Syed Ahmed Mohiuddin,, Bhardwaj, Vinod K.   +8 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

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 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

Discatenated and lacunary recurrences [PDF]

Notes on Number Theory and Discrete Mathematics
Recursive sequences with gaps have been studied previously. This paper considers some elementary properties of such sequences where the gaps have been created on a regular basis from sequence to sequence – ‘discatenated’ (systematic gaps) and ‘lacunary’
Hakan Akkuş, Ömür Deveci, Engin Özkan, Anthony G. Shannon   +3 more
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

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