Results 21 to 30 of about 606,214 (82)
On further strengthened Hardy-Hilbert's inequality
International Journal of Mathematics and Mathematical Sciences, 2004 We obtain an inequality for the weight coefficient ω(q,n) (q>1, 1/q+1/q=1, n∈ℕ) in the form ω(q,n)=:∑m=1∞(1/(m+n))(n/m)1 ...
Lü Zhongxue
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On new strengthened Hardy-Hilbert's inequality
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper, a new inequality for the weight coefficient ω(q,n) in the form ω(q,n):=∑m=1∞1m+n(nm)1/q 1,1p+1q=1,n∈N) is proved. This is followed by a strengthened version ofthe Hardy-Hilbert inequality.
Bicheng Yang, Lokenath Debnath
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On a Reverse Half-Discrete Hardy-Hilbert’s Inequality with Parameters
Mathematics, 2019 By means of the weight functions, the idea of introduced parameters, and the Euler-Maclaurin summation formula, a reverse half-discrete Hardy-Hilbert’s inequality and the reverse equivalent forms are given.
Bicheng Yang, Shanhe Wu, Aizhen Wang
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On strengthened version of Hardy-Hilbert's type inequality(关于Hardy-Hilbert型不等式的加强)
Zhejiang Daxue xuebao. Lixue ban, 2007 利用改进了的Hölder's不等式对两个Hardy-Hilbert型不等式作了改进，建立了一些新的形如的不等式，其中，R（α，r，s）= (S，(F，γ）— Sq(G，γ))2 < 1.
HELe-ping(贺乐平) +1 more
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Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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Repelled Point Processes With Application to Numerical Integration
Scandinavian Journal of Statistics, Volume 53, Issue 3, Page 1101-1133, September 2026.ABSTRACT We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point process (PPP), linear statistics of more regularly spread point processes can yield unbiased estimators with faster‐decaying variance, and thus lower integration ...
Diala Hawat +3 more
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Mizohata–Takeuchi inequalities for orthonormal systems
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We establish some weighted L2$L^2$ inequalities for Fourier extension operators in the setting of orthonormal systems. In the process, we develop a direct approach to such inequalities based on generalized Wigner distributions, complementing the Schatten space approach that is prevalent in the wider context of estimates for such orthonormal ...
Jonathan Bennett +4 more
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The asymptotic Mahler measure of Gaussian periods
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen +2 more
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Null projections and noncommutative function theory in operator algebras
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We study projections in the bidual of a C∗$\mathrm{C}^*$‐algebra B$B$ that are null with respect to a subalgebra A$A$, that is, projections p∈B∗∗$p\in B^{**}$ satisfying |φ|(p)=0$|\varphi |(p)=0$ for every φ∈B∗$\varphi \in B^*$ annihilating A$A$. In the separable case, A$A$‐null projections are precisely the peak projections in the bidual of A$
David P. Blecher, Raphaël Clouâtre
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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
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