Results 1 to 10 of about 2,055 (118)
Large convex cones in hypercubes
Discrete Applied Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zoltán Füredi, Miklós Ruszinkó
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Geometric Tomography of Convex Cones [PDF]
Discrete & Computational Geometry, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Isoperimetric Inequalities for Convex Cones [PDF]
Proceedings of the American Mathematical Society, 1990 We present here an isoperimetric inequality for sets contained in a convex cone. Some applications to symmetrization problems and Sobolev inequalities are also indicated.
LIONS P. L., PACELLA, Filomena
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Extensions of convex functionals on convex cones [PDF]
Applicationes Mathematicae, 1998 Summary: We prove that under some topological assumptions (e.g. if \(M\) has nonempty interior in \(X\)), a convex cone \(M\) in a linear topological space \(X\) is a linear subspace if and only if each convex functional on \(M\) has a convex extension on the whole space \(X\).
Ignaczak, E., Paszkiewicz, A.
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Lifts of Convex Sets and Cone Factorizations [PDF]
Mathematics of Operations Research, 2013 In this paper, we address the basic geometric question of when a given convex set is the image under a linear map of an affine slice of a given closed convex cone. Such a representation or lift of the convex set is especially useful if the cone admits an efficient algorithm for linear optimization over its affine slices.
João Gouveia +2 more
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Minimax tests for convex cones [PDF]
Annals of the Institute of Statistical Mathematics, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Convexity Properties of the Cone of Nonnegative Polynomials [PDF]
Discrete & Computational Geometry, 2004 We study metric properties of the cone of homogeneous non-negative multivariate polynomials and the cone of sums of powers of linear forms, and the relationship between the two cones. We compute the maximum volume ellipsoid of the natural base of the cone of non-negative polynomials and the minimum volume ellipsoid of the natural base of the cone of ...
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Bifractional inequalities and convex cones
Discrete Mathematics, 2006 Let \(V\) be a real linear space equipped with an inner product \(\left\langle .,.\right\rangle .\) The author gives three characterizations of the vectors \( y,z\in V\) with the property that the inequality \(\left\langle z,x\right\rangle \left\langle y,v\right\rangle \leq \left\langle z,y\right\rangle \left\langle x,v\right\rangle \) is valid for ...
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Mean Convex Smoothing of Mean Convex Cones
Geometric and Functional Analysis27 pages; Comments are ...
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A characterization of convex cones
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2008 The author considers domains of an affine space in the projective category via the well-known equivariant embedding from \((\mathbb{R}^n,\text{Aff}(n,\mathbb{R}))\) into \((\mathbb{R}{\mathbf P}^n,\text{PGL}(n+1,\mathbb{R}))\). A domain \(\Omega\) of \(\mathbb{R}{\mathbf P}^n\), is called convex if there exists an affine space \(H\subset\mathbb{R ...
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