Skip to main content
Log in

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. H. W. E. Jung, “Über die kleinste Kugel, die eine räumliche Figur einschliesst,” J. Reine Angew. Math.,123, 241–257 (1901).

    Google Scholar 

  2. H. F. Bohnenblust, “Convex regions and projections in Minkowski spaces,” Ann. Math.,39, No. 2, 301–308 (1938).

    Google Scholar 

  3. L. Danzer, B. Grunbaum, and V. Klee, Helly's Theorem [Russian translation], Mir, Moscow (1968).

    Google Scholar 

  4. D. M. Burago and V. A. Zalgaller, Geometric Inequalities [in Russian], Nauka, Leningrad (1980).

    Google Scholar 

  5. N. A. Routledge, “A result in Hilbert space,” Q. J. Math.,3, 12–18 (1952).

    Google Scholar 

  6. V. I. Berdyshev, “The connection between Jackson's inequality and a certain geometrical problem,” Mat. Zametki,3, No. 3, 327–338 (1968).

    Google Scholar 

  7. V. I. Berdyshev, “Jackson's theorem in Lp,” Tr. Mat. Inst. Akad. Nauk SSSR,88, 3–16 (1967).

    Google Scholar 

  8. N. I. Chernykh, “Jackson's inequality in Lp,” Tr. Mat. Inst. Akad. Nauk SSSR,88, 71–74 (1967).

    Google Scholar 

  9. A. D. Ioffe and V. M. Tikhomirov, Theory of Extremal Problems [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  10. M. N. Arshinov and L. E. Sadovskii, Codes and Mathematics [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  11. J. Wells and L. Williams, Embeddings and Extensions in Analysis, Springer, Heidelberg (1975).

    Google Scholar 

  12. V. L. Dol'nikov, “Jung's constant in l1 n,” Mat. Zametki,42, No. 4, 519–526 (1987).

    Google Scholar 

  13. I. M. Vinogradov, Elements of Number Theory [in Russian], Nauka, Moscow (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 43, No. 5, pp. 604–614, May, 1988.

The author thanks V. A. Yudin for helpful conversations. Chernykh's investigation on Jackson's theorem in Lp had great significance for the author.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pichugov, S.A. Jung's constant for the space Lp . Mathematical Notes of the Academy of Sciences of the USSR 43, 348–354 (1988). https://doi.org/10.1007/BF01158839

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01158839

Navigation