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Convex sets and inequalities
Published 2005-01-01“…<p/> <p>We consider a natural correspondence between a family of inequalities and a closed convex set. As an application, we give new types of power mean inequalities and the Hölder-type inequalities.…”
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Termination in Convex Sets of Distributions
Published 2018-11-01“…Convex algebras, also called (semi)convex sets, are at the heart of modelling probabilistic systems including probabilistic automata. …”
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On principal frequencies and inradius in convex sets
Published 2018-12-01Subjects: “…convex sets…”
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On weakly 1-convex sets in the plane
Published 2023-05-01Subjects: “…convex set…”
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T-minima on convex sets and Mosco-convergence
Published 2020-06-01“…We study the existence of T-minima (infinite energy minima) on convex sets of the Sobolev space W01,p(Ω) and the stability of the T-minima under the Mosco-convergence of the convex sets.…”
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Lifts of Convex Sets and Cone Factorizations
Published 2014“…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. …”
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Boundary value problems with solutions in convex sets
Published 2019-01-01Subjects: Get full text
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Diameter of Convex Sets (Bodies) & Concentration of Measure
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On the weak closure of convex sets of probability measures
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On some generalizations of convex sets and convex functions
Published 1985-02-01Get full text
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On Nontrivial Covers and Partitions of Graphs by Convex Sets
Published 2018-05-01“…In this paper we prove that it is NP-complete to decide whether a graph can be partitioned into nontrivial convex sets. We show that it can be verified in polynomial time whether a graph can be covered by nontrivial convex sets. …”
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On some generalizations of convex sets and convex functions
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On a Pólya’s inequality for planar convex sets
Published 2022-03-01“…In this short note, we prove that for every bounded, planar and convex set $\Omega $, one has \[ \frac{\lambda _1(\Omega )T(\Omega )}{|\Omega |}\le \frac{\pi ^2}{12}\cdot \left(1+\sqrt{\pi }\frac{r(\Omega )}{\sqrt{|\Omega |}}\right)^2, \] where $\lambda _1$, $T$, $r$ and $|{\,\cdot \,}|$ are the first Dirichlet eigenvalue, the torsion, the inradius and the volume. …”
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