霍夫丁不等式(Hoeffding's inequality)是机器学习的基础理论,通过它可以推导出机器学习在理论上的可行性。1.简述在概率论中,霍夫丁不等式给出了随机变量的和与其期望值偏差的概率上… Pikachu5808 ⑨のn元不等式笔记(2)——可能是最全面透彻的Hardy不等式与Carleman不等式讲解 天才琪露诺发表于⑨の高中数.....
On the one hand, we establish with two different methods the new multipolar Hardy inequality (N - 2) 2 n p 2 ∫ R N ∑ i = 1 n | u | p | x - a i | 2 d x (N - 2) 2 2 p 2 n 2 ∫ R N ∑ i , j = 1 i ≠ j n | a i - a j | 2 | x - a i | 2...
We prove that it is equivalent for domain in to admit the pointwise -Hardy inequality, have uniformly -fat complement, or satisfy a uniform inner boundary ... J Lehrbäck - 《Proceedings of the American Mathematical Society》 被引量: 63发表: 2008年 Hardy-Poincare' inequalities with boundary...
A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator Calc. Var. Part. Diff. Eq., 18 (2003), pp. 57-75 Google Scholar [6] C. Bennett, R. Sharpley Interpolation of Operators Academic Press, Boston (1988) Google Scholar [7]...
Hardy Inequality 本次证明不等式有很多证明思想 逐步调整法 一般到特殊 特殊到一般 类似比 Hardy 不等式: 设p>1,an为非负数列 ∑n=1∞∑k=1nakn≤(pp−1)p∑n=1∞anp 证明&分析 对于p>1证明似乎没有任何思路,不妨取一个个例来证明,毕竟 个性包含共性,共性寓于个性...
1)Hardy inequalityHardy不等式 1.The fundamental solution andHardy inequalityfor a class of degenerated elliptics operators with a double-weight;一类双权退化椭圆算子的基本解及Hardy不等式 2.In this paper,the existence of the nontrivial solution to a class of quasi-linear elliptic problem is investig...
The work extends our previous work (Skrzypczaki, in Nonlinear Anal TMA 93:30–50, 2013 ), where we dealt with inequality −Δ p u ≥Φ, leading to Hardy and Hardy–Poincaré inequalities with the best constants.doi:10.1007/s00030-014-0269-ySkrzypczak...
Independently Lewis [11] and Wannebo [17] , proved that the Hardy inequality (1) holds in a proper open subset of Rn provided its complement is uniformly p-thick (Lewis: a=0;Wannebo: a≥0, small). For a more precise statement, see ...
The classical Hardy inequality for fixed exponent p ∈ (1, ∞) is∞ 0 |u(x)| p x −p+a dx ≤p p −1 −ap∞ 0 |u ′ (x)| p x a dx, where a < p −1, u is absolutely continuous on [0, ∞), and u(0) = 0. Neˇcas ...
A generalized sharp Hardy inequality to the degenerate elliptic operators with respect to Grushin type operators is proved by ingeniously choosing test functions and calculating the maximum value of a quadratic equation. 通过选取合适的测试函数,利用二次函数取最值的方法,证明了与Grushin型算子相关的退化...