Skip to main content
Log in

Bounds for convex surfaces with bounded curvature functions

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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.

Institutional subscriptions

Literature Cited

  1. A. D. Aleksandrov, “On the theory of compound volumes of convex bodies,” Matem. Sb.,2, No. 5, 947–972 (1937).

    Google Scholar 

  2. A. D. Aleksandrov, Interior Geometry of Convex Surfaces [in Russian], Moscow-Leningrad (1948).

  3. T. Bonnesen and W. Fenchel, Theorie der konvexen Korper, Berlin (1934).

  4. A. D. Aleksandrov, “On the theory of compound volumes of convex bodies,” Matem. Sb.,3, No. 2, 227–251 (1938).

    Google Scholar 

  5. A. D. Aleksandrov, “Existence of almost everywhere second differentials of convex functions,” Uchenye Zapiski Leningr. Gos. Un-ta,37, No6, 3–35 (1939).

    Google Scholar 

  6. S. Saks, Theory of the Integral, Dover Publications, New York (1964).

    Google Scholar 

  7. G. G. Hardy, D. E. Littlewood, and G. Polya, Inequalities [Russian translation], IL, Moscow (1948).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 12, No. 1, pp. 109–125, January–February, 1971.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Diskant, V.I. Bounds for convex surfaces with bounded curvature functions. Sib Math J 12, 78–89 (1971). https://doi.org/10.1007/BF00969143

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00969143

Keywords

Navigation