An analogue of the Krein-Milman theorem for star-shaped sets.
Martini, Horst, Wenzel, Walter (2003)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “On faces of a convex polyhedron in with a small number of sides.”
An analogue of the Krein-Milman theorem for star-shaped sets.
On the monotonicity of the volume of hyperbolic convex polyhedra.
Bezdek, Károly (2005)
Beiträge zur Algebra und Geometrie
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A short remark on Kolmogoroff normability theorem.
Caruso, A. (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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On the -uniformly close to convex functions with respect to a convex domain.
Blezu, Dorin (2001)
General Mathematics
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Extensions of convex functionals on convex cones
E. Ignaczak, A. Paszkiewicz (1998)
Applicationes Mathematicae
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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.
The Idzik type quasivariational inequalities and noncompact optimization problems
Sehie Park, Jong Park (1996)
Colloquium Mathematicae
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Sufficient conditions for convexity in manifolds without focal points
M. Beltagy (1993)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, local, global, strongly local and strongly global supportings of subsets in a complete simply connected smooth Riemannian manifold without focal points are defined. Sufficient conditions for convexity of subsets in the same sort of manifolds have been derived in terms of the above mentioned types of supportings.
On the perimeter of the intersection of congruent disks.
Bezdek, Károly, Connelly, Robert, Csikós, Balázs (2006)
Beiträge zur Algebra und Geometrie
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Illumination and visibility problems in terms of closure operators.
Martini, Horst, Wenzel, Walter (2004)
Beiträge zur Algebra und Geometrie
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Characterizations of inner product spaces by strongly convex functions.
Nikodem, Kazimierz, Páles, Zsolt (2011)
Banach Journal of Mathematical Analysis [electronic only]
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A generalization of the Hahn-Banach theorem
Jolanta Plewnia (1993)
Annales Polonici Mathematici
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If C is a non-empty convex subset of a real linear space E, p: E → ℝ is a sublinear function and f:C → ℝ is concave and such that f ≤ p on C, then there exists a linear function g:E → ℝ such that g ≤ p on E and f ≤ g on C. In this result of Hirano, Komiya and Takahashi we replace the sublinearity of p by convexity.