Results 71 to 80 of about 5,146,047 (210)

Lacunary strong A-convergence with respect to a sequence of modulus functions [PDF]

open access: yesApplied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

On Strongly Almost Lacunary Statistical A-Convergence Defined by a Musielak-Orlicz Function

open access: yes, 2016
We study some new strongly almost lacunary statistical A-convergent sequence space of order alpha defined by a Musielak-Orlicz function. We also give some inclusion relations between the newly introduced class of sequences with the spaces of strongly ...
SAVAS, E   +3 more
core   +1 more source

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

open access: yesJournal 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

More lacunary partition functions

open access: yesIllinois Journal of Mathematics, 2003
Let \(Q_{m,k}(n)\) denote the number of partitions of \(n\) into distinct parts \(\lambda_i\) such that (i) each \(\lambda_i\equiv 0\), \(m\pmod k\); (ii) the least part \(\lambda_1\equiv 0\pmod k\); (iii) \(2\lambda_1+ m\) does not occur as a part. Let \(Q_{m,k}^{\pm}(n)\) denote respectively the number of such partitions into evenly, oddly many parts.
openaire   +5 more sources

Strongly Lacunary I?-Convergence and Strongly Lacunary I?-Cauchy Sequence [PDF]

open access: yes
In this paper, we defined the concepts of lacunary I?-convergence and strongly lacunary I?-convergence. We investigated the relations between strongly lacunary I-convergence and strongly lacunary I?-convergence.
Pancaroğlu Akın, Nimet Pancaro?lu   +1 more
core   +1 more source

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

open access: yesJournal 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

Lacunary statistically upward half quasi-Cauchy sequences

open access: yes, 2015
A real valued function defined on a subset E of R, the set of real numbers, is lacunary statistically upward continuous if it preserves lacunary statistically upward half quasi -Cauchy sequences where a sequence (x,) of points in R is called lacunary ...
MUCUK, Osman   +3 more
core   +1 more source

Research Progress of Polyoxometalate‐Integrated Frameworks: Syntheses, Properties, and Applications

open access: yesChemistryEurope, 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   +6 more
wiley   +1 more source

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

open access: yesMathematika, 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 Approximations by Trigonometric Polynomials of Classes of Functions Defined by Moduli of Smoothness

open access: yesAbstract and Applied Analysis, 2017
In this paper, we give a characterization of Nikol’skiĭ-Besov type classes of functions, given by integral representations of moduli of smoothness, in terms of series over the moduli of smoothness.
Nimete Sh. Berisha   +3 more
doaj   +1 more source

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