Found 37 Documents (Results 1–37)
Complex \(L_p\)-intersection bodies. (English) Zbl 1531.52006
Reviewer: Georgios Psaradakis (Kastoria)
\(L_p\)-Steiner quermassintegrals. (English) Zbl 1526.52008
Reviewer: Boris Rubin (Baton Rouge)
\((p, q)\)-John ellipsoids. (English) Zbl 1477.52011
Reviewer: Gabriela Cristescu (Arad)
Geometric measures and Minkowski problems. (English) Zbl 1464.52005
Cheng, Shiu Yuen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2017. First meeting, Guangzhou, Guangdong, China, December 2017. Somerville, MA: International Press. 361-380 (2020).
Reviewer: Zsolt Lángi (Budapest)
The Gauss image problem. (English) Zbl 1456.52002
Reviewer: Rolf Schneider (Freiburg im Breisgau)
MSC:
52A20
Orlicz addition for measures and an optimization problem for the \(f\)-divergence. (English) Zbl 1436.52009
The dual Orlicz-Minkowski problem. (English) Zbl 1416.52009
Reviewer: Judit Abardia-Evéquoz (Frankfurt a. M.)
Orlicz dual Brunn-Minkowski theory: addition, dual quermassintegrals, and inequalities. (English) Zbl 1403.52006
Daras, Nicholas J. (ed.) et al., Modern discrete mathematics and analysis. With applications in cryptography, information systems and modeling. Cham: Springer (ISBN 978-3-319-74324-0/hbk; 978-3-319-74325-7/ebook). Springer Optimization and Its Applications 131, 11-37 (2018).
MSC:
52A20
Existence of solutions to the even dual Minkowski problem. (English) Zbl 1406.52017
Reviewer: George Stoica (Saint John)
Subspace concentration of dual curvature measures of symmetric convex bodies. (English) Zbl 1397.52005
Reviewer: Thomas Jahn (Chemnitz)
\(L_{p}\) dual curvature measures. (English) Zbl 1388.52003
Reviewer: George Stoica (Saint John)
MSC:
52A40
Necessary subspace concentration conditions for the even dual Minkowski problem. (English) Zbl 1383.52008
Reviewer: Sorin-Mihai Grad (Chemnitz)
Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems. (English) Zbl 1372.52007
Reviewer: Rolf Schneider (Freiburg i. Br.)
Dual Orlicz-Brunn-Minkowski theory: dual Orlicz \(L_{\phi}\) affine and geominimal surface areas. (English) Zbl 1355.52003
Reviewer: Yurii G. Nikonorov (Volgodonsk)
New inequalities for star bodies. (English) Zbl 1347.52010
Reviewer: Guangxian Zhu (New York)
Characterizing the dual mixed volume via additive functionals. (English) Zbl 1352.52008
Reviewer: Judit Abardia (Frankfurt a. M.)
Orlicz dual mixed volumes. (English) Zbl 1329.52008
Reviewer: Guangxian Zhu (New York)
The dual Orlicz-Brunn-Minkowski theory. (English) Zbl 1320.52008
MSC:
52A40
On the Marcus-Lopes inequalities for dual quermassintegrals. (Chinese. English summary) Zbl 1324.52006
Dual Orlicz-Brunn-Minkowski theory. (English) Zbl 1307.52004
Reviewer: Eugenia Saorín Gómez (Magdeburg)
The isoperimetrix in the dual Brunn-Minkowski theory. (English) Zbl 1291.52007
Reviewer: Eugenia Saorín Gómez (Magdeburg)
\(L_p\) intersection bodies. (English) Zbl 1140.52003
Reviewer: Monika Ludwig (Brooklyn)
Dual \(L_{p}\) John ellipsoids. (English) Zbl 1136.52005
Reviewer: Anatoliy Milka (Kharkov)
Applications of information theory to convex geometry. (English) Zbl 1131.52007
Grinberg, Eric L. (ed.) et al., Integral geometry and convexity. Proceedings of the international conference, Wuhan, China, October 18–23, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-513-2/hbk). 141-151 (2006).
Reviewer: Anatoliy Milka (Kharkov)
Dual quermassintegral version of Minkowski inequality for mixed intersection bodies. (Chinese. English summary) Zbl 1116.52003
MSC:
52A40
The dual Brunn-Minskowski-Firey theorem. (Chinese. English summary) Zbl 1084.52509
Some inequalities about dual mixed volumes of star bodies. (English) Zbl 1094.52005
Reviewer: Salvador Gomis (Alicante)
Geometric tomography and local stereology. (English) Zbl 1034.52007
Reviewer: Rolf Schneider (Freiburg i. Br.)
A new ellipsoid associated with convex bodies. (English) Zbl 0974.52008
Reviewer: Rolf Schneider (Freiburg i.Br.)
MSC:
52A40
The Brunn-Minkowski inequality, Minkowski’s first inequality, and their duals. (English) Zbl 0959.52007
Reviewer: Rolf Schneider (Freiburg i.Br.)
Stability of inequalities in the dual Brunn-Minkowski theory. (English) Zbl 0926.52010
Reviewer: R.Schneider (Freiburg i.Br.)
MSC:
52A40
Inequalities for dual isoperimetric deficits. (English) Zbl 0959.52006
Reviewer: Rolf Schneider (Freiburg i.Br.)
Blaschke-Santaló inequalities. (English) Zbl 0906.52003
Reviewer: R.Schneider (Freiburg i.Br.)
MSC:
52A40
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