Results 21 to 30 of about 3,422,801 (203)
On the optimal control for variational inequalities [PDF]
Journal of Optimization Theory and Applications, 1976 We prove an existence theorem for the optimal control of variational inequalities governed by a pseudomonotone operator: the cost is assumed to be quadratic. Then, we give an extension of the theorem to more general costs (assuming the operator to be monotone); we also give a result on a perturbation problem.
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Optimizing Improved Hardy Inequalities
Journal of Functional Analysis, 2002 Let \(N\geq 3\) and \(\Omega\) be a bounded domain in \({\mathbb R}^N\) such that \(0\in \Omega\). The goal of the authors is to study a general improved Hardy inequality: For all \(u\in H^1_0(\Omega)\), \[ \int_{\Omega} \left|\nabla u\right|^2\geq \left(\frac{N-2}2\right)^2\int_{\Omega} \frac{\left|u\right|^2}{\left|x\right|^2}dx+b\int_{\Omega} Vu^2dx
Filippas, Stathis, Tertikas, Achilles
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Optimal Inequalities in Probability Theory: A Convex Optimization Approach [PDF]
SIAM Journal on Optimization, 2005 We propose a semidefinite optimization approach to the problem of deriving tight moment inequalities for $P(X\in S)$, for a set S defined by polynomial inequalities and a random vector X defined on $\Omega\subseteq {\cal R}^n$ that has a given collection of up to kth-order moments.
Bertsimas, Dimitris., Popescu, Ioana.
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An optimal Hardy–Morrey inequality [PDF]
Calculus of Variations and Partial Differential Equations, 2011 In this work we improve the sharp Hardy inequality in the case $p>n$ by adding an optimal weighted Hoelder semi-norm. To achieve this we first obtain a local improvement. We also obtain a refinement of both the Sobolev inequality for $p>n$ and the Hardy inequality, the latter having the best constant.
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Journal of Optimization, Differential Equations and Their Applications, 2023 We investigate the optimal control problem with respect to coefficients of the degenerate parabolic variational inequality. Since problems of this type can have the Lavrentieff effect, we consider the optimal control problem in a class of so-called ...
Nina V. Kasimova +2 more
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A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications
Advances in Mathematical Physics, 2021 In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR-warped product submanifolds into a generalized Sasakian space form.
Yanlin Li, Akram Ali, Rifaqat Ali
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Optimal taxation under regional inequality [PDF]
European Economic Review, 2015 Regional productivity differences provide scope for productivity-enhancing labor mobility. Redistribution reduces relocation incentives through higher taxes or lower transfers. Combining an intensive labor supply margin with an extensive, productivity-enhancing migration margin, we determine how regional inequality and labor mobility affect optimal ...
Sebastian Kessing +2 more
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Smooth and Flexible Dual Optimal Inequalities
INFORMS Journal on Optimization, 2022 We address the problem of accelerating column generation (CG) for set-covering formulations via dual optimal inequalities (DOIs). We study two novel classes of DOIs, which are referred to as Flexible DOIs (F-DOIs) and Smooth-DOIs (S-DOIs), respectively (and jointly as SF-DOIs). F-DOIs provide rebates for covering items more than necessary.
Naveed Haghani +2 more
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Optimal Littlewood-Offord Inequalities in Groups [PDF]
Combinatorica, 2019 We prove several Littlewood-Offord type inequalities for arbitrary groups. In groups having elements of finite order the worst case scenario is provided by the simple random walk on a certain cyclic subgroup. The inequalities we obtain are optimal if the underlying group contains an element of certain order.
Tomas Juskevicius, Grazvydas Semetulskis
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All geographical distances are optimal
Cybergeo, 2020 Triangular inequality is one of the four mathematical properties of distance. Its respect derives from the optimal nature of the measurement of distance.
Alain L’Hostis
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