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McClure, Donald E.; Vitale, Richard A.

Polygonal approximation of plane convex bodies. (English) Zbl 0315.52004

J. Math. Anal. Appl. 51, 326-358 (1975).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 2 Reviews
Cited in 63 Documents

MSC:

52A10 Convex sets in \(2\) dimensions (including convex curves)
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Full Text: DOI

References:

[1] Carlsson, S.; Grenander, U., Statistical approximation of plane convex sets, Skand. Aktuarietidskr., 3/4, 113-127 (1967) · Zbl 0313.62032
[2] Dowker, C. H., On minimum circumscribed polygons, Bull. Amer. Math. Soc., 50, 120-122 (1944) · Zbl 0061.37806
[3] Eggleston, H. G., Problems in Euclidean Space: Application of Convexity (1957), Pergamon Press: Pergamon Press London · Zbl 0083.38102
[4] McClure, D. E., Quart. Appl. Math., 33, 1-37 (1975) · Zbl 0313.41004
[5] Pólya, G., On the mean-value theorem corresponding to a given linear homogeneous differential equation, Trans. Amer. Math. Soc., 24, 312-324 (1922) · JFM 50.0299.02
[6] Poritsky, H., Convex spaces associated with a family of linear inequalities, (Proceedings of Symposia on Pure Mathematics, Vol. VII (1963), American Mathematical Society: American Mathematical Society Providence, RI) · Zbl 0132.17402
[7] Valentine, F. A., Convex Sets (1964), McGraw-Hill: McGraw-Hill New York · Zbl 0129.37203
[8] Vitale, R. A., A representation theorem for compact convex sets in the plane, (Division of Applied Mathematics Report (1974), Brown University) · Zbl 1145.60022
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