Results 1 to 10 of about 51 (48)
Equivalent property of a half-discrete Hilbert’s inequality with parameters [PDF]
Journal of Inequalities and Applications, 2018 By using the weight functions and the idea of introducing parameters, a half-discrete Hilbert inequality with a nonhomogeneous kernel and its equivalent form are given.
Zhenxiao Huang, Bicheng Yang
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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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Equivalent properties of a reverse half-discrete Hilbert’s inequality
Journal of Inequalities and Applications, 2019 By using the weight functions, the idea of introduced parameters and the Euler–Maclaurin summation formula, a reverse half-discrete Hilbert’s inequality with the homogeneous kernel and the reverse equivalent forms are given (for ...
Ai-zhen Wang, Bi-cheng Yang, Qiang Chen
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On a new extended half-discrete Hilbert’s inequality involving partial sums
Journal of Inequalities and Applications, 2020 By applying the weight functions, the idea of introducing parameters, and Euler–Maclaurin summation formula, a new extended half-discrete Hilbert’s inequality with the homogeneous kernel and the beta, gamma function is given. The equivalent statements of
Xing Shou Huang, Ricai Luo, Bicheng Yang
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A Note on Local Polynomial Regression for Time Series in Banach Spaces
Journal of Time Series Analysis, EarlyView.ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
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Entanglement, Space–Time Coordinates, and Bell's Inequalities in Photon–Polarization Experiments
Annalen der Physik, Volume 538, Issue 9, September 2026.This work presents a revised analysis of Bell‐type inequalities. It is argued that standard derivations of Bell‐type inequalities implicitly rely on additional assumptions beyond those originally stated, specifically concerning the cardinalities of the sets of measurements and photon‐pair properties.
Karl Hess, Jürgen Jakumeit
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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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Adaptive Estimation for Weakly Dependent Functional Times Series
Journal of Time Series Analysis, Volume 47, Issue 5, Page 1013-1027, September 2026.ABSTRACT We propose adaptive mean and autocovariance function estimators for stationary functional time series under 𝕃p−m‐approximability assumptions. These estimators are designed to adapt to the regularity of the curves and to accommodate both sparse and dense data designs.
Hassan Maissoro +2 more
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h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
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Advanced Physics Research, Volume 5, Issue 8, August 2026.A physics‐grounded framework based on decoherence timescales (τ_dec vs τ_func), Markovian validity, and falsifiability criteria is applied across molecular systems to distinguish where quantum effects are necessary, marginal, or irrelevant. The analysis integrates quantum chemistry, biological quantum mechanisms, and quantum computing under a unified ...
Sarfaraz K. Niazi
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