A characterization of boundaries of smooth strictly convex plane sets

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  • Horst Kramer Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania
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References

Juul, Karsten, Some three-point subset properties connected with Menger's characterization of boundaries of plane convex sets. Pacific J. Math. 58 (1975), no. 2, 511--515, MR0385713.

Kramer, Horst, Nemeth, A. B., Triangles inscribed in smooth closed arcs. Rev. Anal. Numer. Theorie Approximation 1 (1972), 63-71, MR0375195.

Kramer, Horst, Nemeth, A. B., Equally spaced points for families of compact convex sets in Minkowski spaces. Mathematica (Cluj) 15(38) (1973), 71--78, MR0362062.

Menger, Karl, Some applications of point-set methods. Ann. of Math. (2) 32 (1931), no. 4, 739--760, MR1503027.

Stoer, Josef, Witzgall, Christophm, Convexity and optimization in finite dimensions. I. Die Grundlehren der mathematischen Wissenschaften, Band 163 Springer-Verlag, New York-Berlin 1970 ix+293 pp., MR0286498.

Swan, W.M., A generalization of a theorem of Menger, Master's Thesis, U.C.L.A., 1954.

Valentine, Frederick A., Konvexe Mengen. (German) Ubersetzung aus dem Englischen durch E. Heil. B. I.-Hochschultaschenbucher, Band 402/402a Bibliographisches Institut, Mannheim 1968 247 pp., MR0226495.

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Published

1978-02-01

How to Cite

Kramer, H. (1978). A characterization of boundaries of smooth strictly convex plane sets. Anal. Numér. Théor. Approx., 7(1), 61–65. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1978-vol7-no1-art5

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Vol. 7 No. 1 (1978)

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