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Linear Stability of Schwarzschild-Anti-de Sitter Spacetimes III: Quasimodes and Sharp Decay of Gravitational Perturbations. [PDF]

Commun Math Phys
Graf O, Holzegel G.
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Hardy-Hilbert type inequalities for matrices

Mathematical Inequalities & Applications, 2022
The Hardy-Hilbert inequality asserts that if the series \(\sum_{m=1}^{\infty} a_m^p\) and \(\sum_{m=1}^{\infty} b_m^p\) are convergent, where \(a_m, b_m\) are nonnegative numbers, \(m=1, 2, \dots\) and if \(p, q>1\) such that \(\frac 1p +\frac 1q = 1\), then \[ \sum_{m=1}^\infty \sum_{n=1}^\infty \frac {a_mb_n}{m+n} < \frac {\pi}{\sin (\pi/p)} \left ...
Zhang, Jiao, Zheng, Zhan
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A Reverse Hilbert's Type Inequality

Applied Mechanics and Materials, 2014
In this paper, by using the Euler-Maclaurin expansion, we establish an inequality of a weight coefficient. Using this inequality, we derive a reverse Hilbert's type inequality. As applications, an equivalent form is obtained.
Gao Wen Xi, Yue Xi, Lei Wang
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A Multidimensional Integral Inequality Related to Hilbert-Type Inequality

Mediterranean Journal of Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adiyasuren, Vandanjav, Batbold, Tserendorj, Sawano, Yoshihiro   +2 more
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An Operator Inequality Related to Hilbert's Type Inequality

Journal of Interdisciplinary Mathematics, 2014
AbstractUsing the weight coefficient and the theory of operators, we define a new Hilbert-type operator and obtain its norm. At last, equivalent inequalities with the best constant factor and some particular norms are considered for applications.
Biao Xu, Guang-Sheng Chen
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Hilbert-Type Integral Inequalities

2009
Hilbert-type integral inequalities, including the well known Hilbert&amp;rsquo;s integral inequality published in 1908, are important in analysis and its applications. This well organized handbook covers the newest methods of weight functions and most important recent results of Hilbert-type integral inequalities and applications in three classes ...
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GENERALIZED NONCOMMUTATIVE HARDY AND HARDY–HILBERT TYPE INEQUALITIES

International Journal of Mathematics, 2010
We extend and unify several Hardy type inequalities to functions whose values are positive semi-definite operators. In particular, our methods lead to the operator versions of Hardy–Hilbert's and Godunova's inequalities. While classical Hardy type inequalities hold for parameter values p > 1, it is typical that the operator versions hold only for 1
Hansen, Frank, Krulic, Kristina, Pecaric, Josip, Persson, Lars-Erik   +3 more
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On Hilbert type inequalities

2009
In this talk we give some new generalizations of classical Hilbert's inequality. We extend it to a general case with $k\geq 2$ non-conjugate exponents. The established technique is then applied to the case where functions are defined $R^n$, and in the case of conjugate exponents and some special homogeneous kernels it is shown that the obtained ...
Perić, Ivan, Pečarić, Josip, Vuković, Predrag   +2 more
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Some Extensions of Hilbert-Type Inequalities

Advanced Materials Research, 2012
In this paper, an extension of Hilbert-type inequalities with a best constant factor is given by introducing two parameter .
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On Reverse Hilbert Type Inequalities

2010
In this paper we establish a new inverse inequality of Hilbert type for a finite number of positive sequences of real numbers. The integral analogue of the inequality are also proved. The results of this paper reduce to that of B. G. Pachpatte.
Bencze, M, Zhou, C, Cheung, WS
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