Results 71 to 80 of about 5,146,047 (210)
Lacunary strong A-convergence with respect to a sequence of modulus functions [PDF]
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On Strongly Almost Lacunary Statistical A-Convergence Defined by a Musielak-Orlicz Function
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
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Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
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
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.
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Strongly Lacunary I?-Convergence and Strongly Lacunary I?-Cauchy Sequence [PDF]
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
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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
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Lacunary statistically upward half quasi-Cauchy sequences
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
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Research Progress of Polyoxometalate‐Integrated Frameworks: Syntheses, Properties, and Applications
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
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
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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
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