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Volumn 173, Issue 1, 2006, Pages 1-18

Approximation of the Euclidean ball by polytopes

Author keywords

Approximation by polytopes; Convex body

Indexed keywords


EID: 33744996708     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm173-1-1     Document Type: Article
Times cited : (52)

References (16)
  • 1
    • 0347748067 scopus 로고    scopus 로고
    • Polytopal approximation bounding the number of k-faces
    • [Bö]
    • [Bö] K. Böröczky, Polytopal approximation bounding the number of k-faces, J. Approx. Theory 102 (2000), 263-285.
    • (2000) J. Approx. Theory , vol.102 , pp. 263-285
    • Böröczky, K.1
  • 2
    • 0031184845 scopus 로고    scopus 로고
    • Umbrellas and polytopal approximation of the Euclidean ball
    • [GRS1]
    • [GRS1] Y. Gordon, S. Reisner and C. Schutt, Umbrellas and polytopal approximation of the Euclidean ball, ibid., J. Approx. Theory 90 (1997), 9-22.
    • (1997) J. Approx. Theory , vol.90 , pp. 9-22
    • Gordon, Y.1    Reisner, S.2    Schutt, C.3
  • 3
    • 33745004029 scopus 로고    scopus 로고
    • [GRS2] _, _, _, Erratum to [GRS1], ibid. 95 (1998), 331
    • [GRS2] _, _, _, Erratum to [GRS1], ibid. 95 (1998), 331.
  • 4
    • 0001973248 scopus 로고
    • Approximation of convex bodies
    • [Gr1] P. M. Gruber and J. M. Wills (eds.), Birkhäuser
    • [Gr1] P. M. Gruber, Approximation of convex bodies, in: P. M. Gruber and J. M. Wills (eds.), Convexity and its Applications, Birkhäuser, 1983, 131-162.
    • (1983) Convexity and Its Applications , pp. 131-162
    • Gruber, P.M.1
  • 5
    • 3042715214 scopus 로고
    • Asymptotic estimates for best and stepwise approximation of convex bodies II
    • [Gr2]
    • [Gr2] -, Asymptotic estimates for best and stepwise approximation of convex bodies II, Forum Math. 5 (1993), 521-538.
    • (1993) Forum Math. , vol.5 , pp. 521-538
  • 6
    • 0002722964 scopus 로고
    • Aspects of approximation of convex bodies
    • [Gr3], P. M. Gruber and J. M. Wills (eds.), North-Holland
    • [Gr3] -, Aspects of approximation of convex bodies, in: P. M. Gruber and J. M. Wills (eds.), Handbook of Convex Geometry, North-Holland, 1993, 319-345.
    • (1993) Handbook of Convex Geometry , pp. 319-345
  • 7
    • 0040122067 scopus 로고    scopus 로고
    • Asymptotic approximation of smooth convex bodies by general polytopes
    • [Lud]
    • [Lud] M. Ludwig, Asymptotic approximation of smooth convex bodies by general polytopes, Mathematika 46 (1999), 103-125.
    • (1999) Mathematika , vol.46 , pp. 103-125
    • Ludwig, M.1
  • 8
    • 0043274792 scopus 로고    scopus 로고
    • A simple proof of an estimate for the approximation of the Euclidean ball and the Delone triangulation numbers
    • [MaS1]
    • [MaS1] P. Mankiewicz and C. Schutt, A simple proof of an estimate for the approximation of the Euclidean ball and the Delone triangulation numbers, J. Approx. Theory 107 (2000), 268-280.
    • (2000) J. Approx. Theory , vol.107 , pp. 268-280
    • Mankiewicz, P.1    Schutt, C.2
  • 9
    • 0042907512 scopus 로고    scopus 로고
    • On the Delone triangulation numbers
    • [MaS2]
    • [MaS2] _, _, On the Delone triangulation numbers, ibid., J. Approx. Theory 111 (2001), 139-142.
    • (2001) J. Approx. Theory , vol.111 , pp. 139-142
  • 10
    • 0016543715 scopus 로고
    • Polygonal approximation of plane convex bodies
    • [McV]
    • [McV] D. E. McClure and R. Vitale, Polygonal approximation of plane convex bodies, J. Math. Anal. Appl. 51 (1975), 326-358.
    • (1975) J. Math. Anal. Appl. , vol.51 , pp. 326-358
    • McClure, D.E.1    Vitale, R.2
  • 11
    • 0001178214 scopus 로고
    • Isotropic random simplices
    • [Mil]
    • [Mil] R. E. Miles, Isotropic random simplices, Adv. Appl. Probab. 3 (1971), 353-382.
    • (1971) Adv. Appl. Probab. , vol.3 , pp. 353-382
    • Miles, R.E.1
  • 12
    • 38249017386 scopus 로고
    • Approximation of the ball by random polytopes
    • [Mil]
    • [Mil] J. S. Müller, Approximation of the ball by random polytopes, J. Approx. Theory 63 (1990), 198-209.
    • (1990) J. Approx. Theory , vol.63 , pp. 198-209
    • Müller, J.S.1
  • 13
    • 84985402677 scopus 로고
    • Random polytopes and affine surface area
    • [Seh]
    • [Seh] C. Schutt, Random polytopes and affine surface area, Math. Nachr. 170 (1994), 227-249.
    • (1994) Math. Nachr. , vol.170 , pp. 227-249
    • Schutt, C.1
  • 14
    • 3242887462 scopus 로고    scopus 로고
    • Polytopes with vertices chosen randomly from the boundary of a convex body
    • [SW], Israel Seminar 2001-2002, V. D. Milman and G. Schechtman (eds.), Springer
    • [SW] C. Schutt and E. Werner, Polytopes with vertices chosen randomly from the boundary of a convex body, in: Israel Seminar 2001-2002, V. D. Milman and G. Schechtman (eds.), Lecture Notes in Math. 1807, Springer, 2003, 241-422.
    • (2003) Lecture Notes in Math. , vol.1807 , pp. 241-422
    • Schutt, C.1    Werner, E.2
  • 15
    • 0000623082 scopus 로고
    • A problem in geometric probability
    • [Wen]
    • [Wen] J. G. Wendel, A problem in geometric probability, Math. Scand. 11 (1962), 109-111.
    • (1962) Math. Scand. , vol.11 , pp. 109-111
    • Wendel, J.G.1
  • 16
    • 84985379427 scopus 로고
    • A kinematic formula and moment measures of random sets
    • [Zä]
    • [Zä] M. Zähle, A kinematic formula and moment measures of random sets, Math. Nachr. 149 (1962) 325-340.
    • (1962) Math. Nachr. , vol.149 , pp. 325-340
    • Zähle, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.