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Inequalities Similar to Certain Extensions of Hilbert's Inequality
Let \(p\in (1,\infty)\) and \(q=p/(p-1)\). Suppose that \(f\) and \(g\) are real and absolutely continuous functions on the interval \([0,x)\) and \([0,y)\), respectively, such that \(f(0)=g(0)=0\). Then \[ \begin{aligned} \int^x_0 \int^y_0 &\frac{|f(x)g(t)|}{qs^{p-1}+pt^{q-1}} ds dt\\ &\leq K(p,q,x,y)\Big(\int^x_0 (x-s)|f'(s)|^p ds\Big)^{1/p} \Big ...
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A short walk in quantum probability. [PDF]
Hudson R.
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On Hardy-Pachpatte-Copson's inequalities. [PDF]
Zhao CJ, Cheung WS.
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Boltzmann equation and hydrodynamics beyond Navier-Stokes. [PDF]
Bobylev AV.
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Blessing of dimensionality: mathematical foundations of the statistical physics of data. [PDF]
Gorban AN, Tyukin IY.
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Fuzzy Logic for Incidence Geometry. [PDF]
Tserkovny A.
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General topology meets model theory, on p and t. [PDF]
Malliaris M, Shelah S.
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Algebraic aspects of the computably enumerable degrees. [PDF]
Slaman TA, Soare RI.
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A Theory of Length and Its Applications to the Calculus of Variations. [PDF]
Menger K.
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Definition of Limit in General Integral Analysis. [PDF]
Moore EH.
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