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Longer titles found: Milman's reverse Brunn–Minkowski inequality (view), Vitale's random Brunn–Minkowski inequality (view)

searching for Minkowski inequality 25 found (55 total)

alternate case: minkowski inequality

Geometric measure theory (802 words) [view diff] exact match in snippet view article find links to article

inequality. The Brunn–Minkowski inequality also leads to Anderson's theorem in statistics. The proof of the Brunn–Minkowski inequality predates modern measure

Minkowski's first inequality for convex bodies (331 words) [view diff] exact match in snippet view article find links to article

Hermann Minkowski. The inequality is closely related to the Brunn–Minkowski inequality and the isoperimetric inequality. Let K and L be two n-dimensional

Hermann Brunn (134 words) [view diff] exact match in snippet view article find links to article

mathematician, known for his work in convex geometry (see Brunn–Minkowski inequality) and in knot theory. Brunnian links are named after him, as his 1892

Busemann's theorem (193 words) [view diff] exact match in snippet view article find links to article

{θr(θ)} in S⊥. Then C forms the boundary of a convex body in S⊥. Brunn–Minkowski inequality Prékopa–Leindler inequality Busemann, Herbert (1949). "A theorem

Entropy power inequality (485 words) [view diff] exact match in snippet view article find links to article

Brunn-Minkowski inequality". IEEE Trans. Inf. Theory. 30 (6): 837–839. doi:10.1109/TIT.1984.1056983. Gardner, Richard J. (2002). "The Brunn–Minkowski inequality"

Newton–Okounkov body (333 words) [view diff] exact match in snippet view article find links to article

Boston, MA: Birkhäuser, MR 1995384 Okounkov, Andrei (1996), "Brunn–Minkowski inequality for multiplicities", Inventiones Mathematicae, 125 (3): 405–411,

Convex body (434 words) [view diff] exact match in snippet view article find links to article

4230/LIPIcs.SoCG.2023.9. Gardner, Richard J. (2002). "The Brunn-Minkowski inequality". Bull. Amer. Math. Soc. (N.S.). 39 (3): 355–405 (electronic). doi:10

Gaussian isoperimetric inequality (527 words) [view diff] case mismatch in snippet view article find links to article

ISSN 1573-8795. S2CID 121935322. Borell, Christer (1975). "The Brunn-Minkowski Inequality in Gauss Space". Inventiones Mathematicae. 30 (2): 207–216. Bibcode:1975InMat

Imre Z. Ruzsa (420 words) [view diff] exact match in snippet view article find links to article

1007/BF01876039. S2CID 121469006. Ruzsa, Imre Z. (1997). "The Brunn-Minkowski inequality and nonconvex sets". Geometriae Dedicata. 67 (3): 337–348. doi:10

Mixed volume (798 words) [view diff] exact match in snippet view article find links to article

\ldots ,K_{n})}}.} Numerous geometric inequalities, such as the Brunn–Minkowski inequality for convex bodies and Minkowski's first inequality, are special cases

John ellipsoid (867 words) [view diff] exact match in snippet view article find links to article

original (PDF) on 2017-01-16. Gardner, Richard J. (2002). "The Brunn-Minkowski inequality". Bull. Amer. Math. Soc. (N.S.). 39 (3): 355–405 (electronic). doi:10

Anderson's theorem (400 words) [view diff] exact match in snippet view article find links to article

origin-symmetric convex body K ⊆ Rn. Gardner, Richard J. (2002). "The Brunn-Minkowski inequality". Bull. Amer. Math. Soc. (N.S.). 39 (3): 355–405 (electronic). doi:10

Borell–Brascamp–Lieb inequality (470 words) [view diff] exact match in snippet view article find links to article

doi:10.1007/s002220100160. Gardner, Richard J. (2002). "The Brunn–Minkowski inequality" (PDF). Bull. Amer. Math. Soc. (N.S.). 39 (3): 355–405 (electronic)

Shephard's problem (362 words) [view diff] exact match in snippet view article find links to article

Petty 1967. Schneider 1967. Gardner, Richard J. (2002). "The Brunn-Minkowski inequality". Bulletin of the American Mathematical Society. New Series. 39 (3):

Fisher information (7,011 words) [view diff] exact match in snippet view article find links to article

proof uses the entropy power inequality, which is like the Brunn–Minkowski inequality. The trace of the Fisher information matrix is found to be a factor

Layer cake representation (476 words) [view diff] exact match in snippet view article find links to article

missing publisher (link) Gardner, Richard J. (2002). "The Brunn–Minkowski inequality". Bull. Amer. Math. Soc. (N.S.). 39 (3): 355–405 (electronic). doi:10

Erwin Lutwak (1,091 words) [view diff] exact match in snippet view article find links to article

Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong (2012), "The log-Brunn—Minkowski inequality", Advances in Mathematics, 231 (3–4): 1974–1997, doi:10.1016/j.aim

Brascamp–Lieb inequality (2,048 words) [view diff] exact match in snippet view article find links to article

PMC 4847755. PMID 27134693. Gardner, Richard J. (2002). "The Brunn–Minkowski inequality" (PDF). Bulletin of the American Mathematical Society. New Series

Elliott H. Lieb (3,127 words) [view diff] exact match in snippet view article find links to article

positive functions. He strengthened the inequality and the Brunn-Minkowski inequality by introducing the notion of essential addition. Lieb also wrote

Finite sphere packing (2,557 words) [view diff] exact match in snippet view article find links to article

the volume, using methods from convex geometry, such as the Brunn-Minkowski inequality, mixed Minkowski volumes and Steiner's formula. A crucial step towards

Shapley–Folkman lemma (9,889 words) [view diff] exact match in snippet view article find links to article

measures. The Shapley–Folkman lemma enables a refinement of the Brunn–Minkowski inequality, which bounds the volume of sums in terms of the volumes of their

Gaoyong Zhang (791 words) [view diff] exact match in snippet view article find links to article

Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong (2012), "The log-Brunn—Minkowski inequality" (PDF), Advances in Mathematics, 231 (3–4): 1974–1997, doi:10.1016/j

Uncertainty theory (3,509 words) [view diff] case mismatch in snippet view article find links to article

{\sqrt[{p}]{E[|\xi |^{p}]}}{\sqrt[{p}]{E[\eta |^{p}]}}.} Theorem 4:(Liu [127], Minkowski Inequality) Let p{\displaystyle p} be a real number with p≤1{\displaystyle p\leq

Fundamental polygon (5,853 words) [view diff] exact match in snippet view article find links to article

theory, the geometry of numbers and circle packing, such as the Brunn–Minkowski inequality. Two elementary proofs due to H. S. M. Coxeter and Voronoi will be

Beta distribution (42,119 words) [view diff] exact match in snippet view article find links to article

On the similarity of the entropy power inequality and the Brunn Minkowski inequality (PDF). Tech.Report 48, Dept. Statistics, Stanford University.{{cite