Results 121 to 130 of about 654,419 (234)
Two bounds on the noncommuting graph
Open Mathematics, 2015 Erdős introduced the noncommuting graph in order to study the number of commuting elements in a finite group. Despite the use of combinatorial ideas, his methods involved several techniques of classical analysis.
Nardulli Stefano, Russo Francesco G.
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Optimal isoperimetric inequalities [PDF]
Bulletin of the American Mathematical Society, 1985 We make precise and prove the following four heuristic statements: 1. Optimal isoperimetric inequality. Corresponding to each m-1 dimensional closed surface T in \(R^ n\) there is an m dimensional surface Q having T as boundary such that \(| Q| \leq \gamma (m)| T|^{m/(m-1)}\) with equality if and only if T is a standard round m-1 sphere (of some radius)
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Ricci Curvature, Isoperimetry and a Non-additive Entropy
Entropy, 2015 Searching for the dynamical foundations of Havrda-Charvát/Daróczy/ Cressie-Read/Tsallis non-additive entropy, we come across a covariant quantity called, alternatively, a generalized Ricci curvature, an N-Ricci curvature or a Bakry-Émery-Ricci curvature ...
Nikos Kalogeropoulos
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Dual
Journal of Inequalities and Applications, 2006 We establish some inequalities for the dual -centroid bodies which are the dual forms of the results by Lutwak, Yang, and Zhang. Further, we establish a Brunn-Minkowski-type inequality for the polar of dual -centroid bodies.
Bin Xiong, Wuyang Yu, Lin Si
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Inequalities for curvature integrals in Euclidean plane
Journal of Inequalities and Applications, 2019 Let γ be a closed strictly convex curve in the Euclidean plane R2 $\mathbb{R}^{2}$ with length L and enclosing an area A, and A˜1 $\tilde{A}_{1}$ denote the oriented area of the domain enclosed by the locus of curvature centers of γ.
Zengle Zhang
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Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds
Open Mathematics, 2015 In this article we prove a reverse Hölder inequality for the fundamental eigenfunction of the Dirichlet problem on domains of a compact Riemannian manifold with lower Ricci curvature bounds.
Gamara Najoua +2 more
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Weighted fractional Poincaré inequalities via isoperimetric inequalities
Calculus of Variations and Partial Differential EquationsAbstractOur main result is a weighted fractional Poincaré–Sobolev inequality improving the celebrated estimate by Bourgain–Brezis–Mironescu. This also yields an improvement of the classical Meyers–Ziemer theorem in several ways. The proof is based on a fractional isoperimetric inequality and is new even in the non-weighted setting.
Kim Myyryläinen +2 more
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Isoperimetric inequalities for conformal moments of plane domains
Journal of Inequalities and Applications, 2002 We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to derive isoperimetric inequalities for geometric functionals which are closely related to the torsional rigidity of a simply connected domain (F.
Avkhadiev FG, Salahudinov RG
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On measure concentration in graph products
Lietuvos Matematikos Rinkinys, 2009 Bollobás and Leader [1] showed that among the n-fold products of connected graphs of order k the one with minimal t-boundary is the grid graph. Given any product graph G and a set A of its vertices that contains at least half of V (G), the number of ...
Matas Šileikis
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