Results 11 to 20 of about 43 (42)
A Generalization on Some New Types of Hardy-Hilbert’s Integral Inequalities
Journal of Function Spaces and Applications, 2013 Sulaiman presented, in 2008, new kinds of Hardy-Hilbert’s integral inequality in which the weight function is homogeneous. In this paper, we present a generalization on the kinds of Hardy-Hilbert’s integral inequality.
Banyat Sroysang
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On a New Extended Hardy–Hilbert’s Inequality with Parameters
Mathematics, 2020 In this paper, by introducing parameters and weight functions, with the help of the Euler−Maclaurin summation formula, we establish the extension of Hardy−Hilbert’s inequality and its equivalent forms.
Bicheng Yang, Shanhe Wu, Jianquan Liao
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On New Extensions of Hilbert's Integral Inequality
International Journal of Mathematics and Mathematical Sciences, 2008 It is shown that some new extensions of Hilbert's integral inequality with parameter λ(λ>1/2) can be established by introducing a proper weight function. In particular, when λ=1, a refinement of Hilbert's integral inequality is obtained. As applications,
He Leping, Gao Mingzhe, Zhou Yu
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On Some Extensions of Hardy-Hilbert's Inequality and Applications
Journal of Inequalities and Applications, 2008 By introducing some parameters we establish an extension of Hardy-Hilbert's integral inequality and the corresponding inequality for series. As an application, the reverses, some particular results and their equivalent forms are considered.
Laith Emil Azar
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A New Extension of Hardy-Hilbert’s Inequality in the Whole Plane
Journal of Function Spaces, 2016 By the use of weight coefficients and Hermite-Hadamard’s inequality, a new extension of Hardy-Hilbert’s inequality in the whole plane with multiparameters and a best possible constant factor is given. The equivalent forms, the operator expressions, and a
Bicheng Yang, Qiang Chen
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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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Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
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