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Effective Behaviour of Critical-Contrast PDEs: Micro-Resonances, Frequency Conversion, and Time Dispersive Properties. II. [PDF]
Commun Math PhysCherednichenko K +3 more
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Eigenstate Thermalization Hypothesis for Wigner-Type Matrices. [PDF]
Commun Math PhysErdős L, Riabov V.
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Bounds on Fluctuations of First Passage Times for Counting Observables in Classical and Quantum Markov Processes. [PDF]
J Stat PhysBakewell-Smith G +3 more
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Hardy-Hilbert type inequalities for matrices
Mathematical Inequalities & Applications, 2022The 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, 2014In 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, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adiyasuren, Vandanjav +2 more
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An Operator Inequality Related to Hilbert's Type Inequality
Journal of Interdisciplinary Mathematics, 2014AbstractUsing 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
2009Hilbert-type integral inequalities, including the well known Hilbert&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, 2010We 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 +3 more
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