Results 1 to 10 of about 4,011 (135)
Brunn-Minkowski inequality and its aftermath
Journal of Multivariate Analysis, 1980 Abstract : Two generalizations of Brunn-Minkowski inequality for convex sets are presented along with their direct and simple proofs. Literature in this area is reviewed. The connection between Anderson's inequality and these inequalities are discussed. Several references for statistical applications are cited.
openaire +3 more sources
Interpolating log-determinant and trace of the powers of matrix A + t B. [PDF]
Stat Comput, 2022 Ameli S, Shadden SC.
europepmc +1 more source
Sobolev-to-Lipschitz property on QCD -spaces and applications. [PDF]
Math Ann, 2022 Dello Schiavo L, Suzuki K.
europepmc +1 more source
Almost-Riemannian manifolds do not satisfy the curvature-dimension condition. [PDF]
Calc Var Partial Differ Equ, 2023 Magnabosco M, Rossi T.
europepmc +1 more source
Brunn–Minkowski Inequalities for Sprays on Surfaces
The Journal of Geometric AnalysisAbstractWe propose a generalization of the Minkowski average of two subsets of a Riemannian manifold, in which geodesics are replaced by an arbitrary family of parametrized curves. Under certain assumptions, we characterize families of curves on a Riemannian surface for which a Brunn–Minkowski inequality holds with respect to a given volume form.
openaire +3 more sources
Brunn-Minkowski Inequality and Its Aftermath. [PDF]
, 1978 1 online resource (PDF, 33 pages)
openaire +1 more source
A Two-Moment Inequality with Applications to Rényi Entropy and Mutual Information. [PDF]
Entropy (Basel), 2020 Reeves G.
europepmc +1 more source
Some inequalities for ( p , q ) -mixed volume. [PDF]
J Inequal Appl, 2018 Chen B, Wang W.
europepmc +1 more source
The Pólya-Szegö principle and the anisotropic convex Lorentz-Sobolev inequality. [PDF]
ScientificWorldJournal, 2014 Liu S, He B.
europepmc +1 more source
Dual Loomis-Whitney Inequalities via Information Theory. [PDF]
Entropy (Basel), 2019 Hao J, Jog V.
europepmc +1 more source