Results 41 to 50 of about 197 (149)

On Asymptotically Double Lacunary Statistical Equivalent Sequences in Probabilistic Normed Space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this paper we study the concept of asymptotically double lacunary statistical convergent sequences in probabilistic normed spaces and prove some basic properties.
Esi Ayhan
doaj   +1 more source

Rough I 2 -lacunary statistical convergence of double sequences.

Journal of inequalities and applications, 2018
In this paper, we introduce and study the notion of rough I 2 -lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough I 2 -lacunary statistical limit set of a double sequence and discuss some properties of this set.
Kişi, Ömer, Dündar, Erdinç
openaire   +4 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

Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley   +1 more source

Completeness of sparse, almost integer, and finite local complexity sequences of translates in Lp(R)$L^p(\mathbb {R})$

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract A real sequence Λ={λn}n=1∞$\Lambda = \lbrace \lambda _n\rbrace _{n=1}^\infty$ is called p$p$‐generating if there exists a function g$g$ whose translates {g(x−λn)}n=1∞$\lbrace g(x-\lambda _n)\rbrace _{n=1}^\infty$ span the space Lp(R)$L^p(\mathbb {R})$.
Nir Lev, Anton Tselishchev
wiley   +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

Lacunary invariant statistical convergence of double sequences of sets [PDF]

Creative Mathematics and Informatics, 2019
In this paper, we introduce the concepts of Wijsman invariant convergence, Wijsman invariant statistical convergence, Wijsman lacunary invariant convergence, Wijsman lacunary invariant statistical convergence for double sequences of sets. Also, we investigate existence of some relations among these new convergence concepts for double sequences of sets.
Nuray, Fatih, Ulusu, Uğur
openaire   +2 more sources

Invariant and Lacunary Invariant Statistical Equivalence of Order β for Double Set Sequences

Adıyaman University Journal of Science, 2021
In this study, as a new approach to the concept of asymptotical equivalence in the Wijsman sense for double set sequences, the new concepts which are called asymptotical invariant statistical equivalence of order β and asymptotical lacunary invariant statistical equivalence of order β (0 < β ≤ 1) in the Wijsman sense for double set sequences are ...
Ulusu, Uğur, Dündar, Erdinç, Nuray, Fatih   +2 more
openaire   +5 more sources

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

Some Paranormed Sequence Spaces Which Involve Arithmetic Divisor Sum Function

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Let Dr, r ≥ 0, be a triangle and q = (qj) be a bounded sequence of strictly positive numbers. In this paper, we study the algebraic and topological properties of the paranormed sequence space ℓDr,q, generated by the triangle Dr over Maddox′s space ℓ(q). We identify the Schauder basis as well as the α‐, β‐, and γ‐duals of the space ℓDr,q. One section is
Ting Gan, Taja Yaying, Orhan Tuğ, Ömer Kisi, Qing-Bo Cai, Nikhil Khanna   +5 more
wiley   +1 more source