On approximation properties of sets with convex complement

Author:

Balaganskii V. S.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference15 articles.

1. V. S. Balaganskii, “On Chebyshev sets with convex complement,” in: Approximation of Functions by Polynomials and Splines [in Russian], Sverdlovsk (1985), pp. 54–57.

2. L. P. Vlasov, “Approximation properties of sets in normed linear spaces,” Usp. Mat. Nauk,28, No. 6, 3–66 (1973).

3. L. P. Vlasov, “On Chebyshev approximatively convex sets,” Mat. Zametki,2, No. 2, 191–200 (1967).

4. E. Asplund, “Chebyshev sets in Hilbert space,” Trans. Amer. Math, Soc.,17, 235–240 (1969).

5. C. Franchetti and P. L. Papini, “Approximation properties of sets with bounded complements,” Proc. Roy. Soc. Edinburgh,A89, No. 1–2, 75–86 (1981).

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1. On convex closed bounded bodies without farthest points such that the closure of their complement is antiproximinal;Proceedings of the Steklov Institute of Mathematics;2012-06-30

2. Convex Programming;Springer Monographs in Mathematics;2012

3. Relationships Between Farthest Point Problem and Best Approximation Problem;Annals of the Alexandru Ioan Cuza University - Mathematics;2011-01-01

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