Geodesic
On the stability of the solution of the best approximation of a convex compact set by a ball
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2006), pp. 25-33.

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A. S. Dudova. On the stability of the solution of the best approximation of a convex compact set by a ball. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2006), pp. 25-33. http://geodesic.mathdoc.fr/item/IVM_2006_7_a2/

[1] Nikolskii M. S., Silin D. B., “O nailuchshem priblizhenii vypuklogo kompakta elementami addiala”, Tr. MIRAN, 211, 1995, 338–354 | MR

[2] D'Ocagne M., “Sur certaine figures minimales”, Bull. Soc. Math. France, 12 (1884), 168–177 | MR

[3] Lebesgue H., “Sur quelques questions de minimum, relatives and courbes orbiformes, et sur leurs rapports avec le calcul des variations”, J. Math. Pures Appl., 4 (1921), 67–96 | Zbl

[4] Bonnesen T., “Über das isoperimetrische Defizit ebener Figuren”, Math. Ann., 91 (1924), 252–268 | DOI | MR | Zbl

[5] Bonnezen T., Fenkhel V., Teoriya vypuklykh tel, Fazis, M., 2002, 210 pp.

[6] Vincze St., “Über den Minimalkreisring einer Eiline”, Acta Sci. Math. Acta Univ. Szeged, 11:3 (1947), 133–138 | MR | Zbl

[7] Vincze I., “Über Kreisringe, die eine Eiline einschlissen”, Studia Sci. Math. Hungarica, 9:1/2 (1974), 155–159 | MR

[8] Kritikos N., “Über konvexe Flachen und einschlissende Kugeln”, Math. Ann., 96 (1927), 583–586 | DOI | MR

[9] Barany I., “On the minimal ring containing the boundary of convex body”, Acta Sci. Math. Acta Univ. Szeged, 52:1/2 (1988), 93–100 | MR | Zbl

[10] Zucco A., “Minimal shell of a typical convex body”, Proc. Amer. Math. Soc., 109:3 (1990), 797–802 | DOI | MR | Zbl

[11] Dudov S. I., Zlatorunskaya I. V., “Ravnomernaya otsenka vypuklogo kompakta sharom proizvolnoi normy”, Matem. sb., 191:10 (2000), 13–38 | MR | Zbl

[12] Dudov S. I., Zlatorunskaya I. V., “Best approximation of a compact convex set by a ball in an arbitrary norm”, Advances in Math. Research, 2, Nova Science Publishers, Inc., 2003, 81–114 | MR | Zbl

[13] Demyanov V. F., Vasilev L. V., Nedifferentsiruemaya optimizatsiya, Nauka, M., 1981, 384 pp. | MR

[14] Pshenichnyi B. N., Vypuklyi analiz i ekstremalnye zadachi, Nauka, M., 1980, 319 pp. | MR | Zbl

[15] Polovinkin E. S., “Silno vypuklyi analiz”, Matem. sb., 187:2 (1996), 103–130 | MR | Zbl

[16] Dudova A. S., “Ob ustoichivosti zadachi o vneshnei otsenke kompakta sharom proizvolnoi normy”, Tez. dokl. 12-i Sarat. zimnei shkoly “Sovremen. problemy teorii funktsii i ikh prilozheniya”, Saratov, 2004, 75–76