A. Alexandroff, “Zur Theorie der gemischten Volumina von konvexen Körpern. II. Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen”, Sb. Math., 44:6 (1937)

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Recueil Mathématique (Nouvelle série), 1937, Volume 2(44), Number 6, Pages 1205–1238 (Mi sm5648)

This article is cited in 16 scientific papers (total in 17 papers)

Zur Theorie der gemischten Volumina von konvexen Körpern. II. Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen

A. Alexandroff

Full-text PDF (3380 kB) Citations (17)

Received: 17.04.1937

Bibliographic databases:

Language: Russian

Citation: A. Alexandroff, “Zur Theorie der gemischten Volumina von konvexen Körpern. II. Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen”, Sb. Math., 44:6 (1937)

Citation in format AMSBIB

\Bibitem{Ale37}

\by A.~Alexandroff

\paper Zur Theorie der gemischten Volumina von konvexen K\"orpern. II.~Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen

\jour Sb. Math.

\yr 1937

\vol 44

\issue 6

\mathnet{http://mi.mathnet.ru/eng/sm5648}

\zmath{https://zbmath.org/?q=an:0018.27601|63.1235.01}

Linking options:

https://www.mathnet.ru/eng/sm5648

https://www.mathnet.ru/eng/sm/v44/i6/p1205

Cycle of papers

Zur Theorie der gemischten Volumina von konvexen Körpern. I. Verallgemeinerung einiger Begriffe der Theorie von konvexen Körpern
A. Alexandroff
Rec. Math. [Mat. Sbornik] N.S., 1937, 2(44):5, 947–972
Zur Theorie der gemischten Volumina von konvexen Körpern. II. Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen
A. Alexandroff
Rec. Math. [Mat. Sbornik] N.S., 1937, 2(44):6, 1205–1238
Zur Theorie der gemischten Volumina von konvexen Körpern. III. Die Erweiterung zweier Lehrsätze Minkowskis über die konvexen Polyeder auf die beliebigen konvexen Kr̈per
A. Alexandroff
Rec. Math. [Mat. Sbornik] N.S., 1938, 3(45):1, 27–46
Zur theorie der gemischten volumina von konvexen Körpern. IV. Die gemischten Diskriminanten und die gemischten Volumina
A. Alexandroff
Rec. Math. [Mat. Sbornik] N.S., 1938, 3(45):2, 227–251

This publication is cited in the following 17 articles:

W. Wang, Ya. Zhou, “Some inequalities for $p$-quermassintegrals”, Funct. Anal. Appl., 57:2 (2023), 99–108
Ocheretnyuk E.V. Slyn'ko V.I., “Estimates of the Area of Solutions of Pseudolinear Differential Equations With Hukuhara Derivative in the Space Conv(R-2)”, Ukr. Math. J., 69:2 (2017), 224–254
E. V. Ocheretnyuk, V. I. Slyn'ko, “Estimates of the Volume of Solutions of Differential Equations with Hukuhara Derivative”, Math. Notes, 97:3 (2015), 431–437
V. P. Golubyatnikov, “Lemma Zyussa i obratnye zadachi”, Sib. elektron. matem. izv., 9 (2012), 16–19
Yu. G. Reshetnyak, V. A. Zalgaller, “On Rectifiable Curves, Additive Vector Functions, and the Minkowski Sum of Straight Line Segments”, Sib. elektron. matem. izv., 9 (2012), 531–553
V. P. Golubyatnikov, “Rekonstruktsiya nevypuklykh ob'ektov po pryamolineinym i krugovym proektsiyam”, Sib. elektron. matem. izv., 7 (2010), 62–72
V. M. Buchstaber, T. E. Panov, N. Ray, “Spaces of polytopes and cobordism of quasitoric manifolds”, Mosc. Math. J., 7:2 (2007), 219–242
Victor Katsnelson, “On H. Weyl and H. Minkowski polynomials”, Sib. elektron. matem. izv., 4 (2007), 169–237
V. N. Stepanov, “Opredelenie kompaktnykh mnozhestv po funktsionalam ot nikh”, Sib. elektron. matem. izv., 2 (2005), 167–185
V. I. Diskant, “Utochneniya analoga izoperimetricheskogo neravenstva i teorema ustoichivosti ego ekstremalnogo resheniya”, Zhurn. matem. fiz., anal., geom., 1:2 (2005), 182–191
B. Ya. Kazarnovskii, “c-fans and Newton polyhedra of algebraic varieties”, Izv. Math., 67:3 (2003), 439–460
V. A. Timorin, “An analogue of the Hodge–Riemann relations for simple convex polytopes”, Russian Math. Surveys, 54:2 (1999), 381–426
V. A. Timorin, “The Mixed Hodge–Riemann Bilinear Relations in the Linear Situation”, Funct. Anal. Appl., 32:4 (1998), 268–272
Golubyatnikov V., “Stability Problems of the Reconstruction of Some Compacts From their Projections”, 322, no. 1, 1992, 20–21
V. P. Golubyatnikov, “On unique recoverability of convex and visible compacta from their projections”, Math. USSR-Sb., 73:1 (1992), 1–10
N. M. Ivochkina, “The integral method of barrier functions and the Dirichlet problem for equations with operators of Monge–Ampère type”, Math. USSR-Sb., 40:2 (1981), 179–192
S. S. Kutateladze, A. M. Rubinov, “Minkowski duality and its applications”, Russian Math. Surveys, 27:3 (1972), 137–191

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Математический сборник (новая серия) - 1936–1946

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