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Volumn 80, Issue 1-3, 2000, Pages 263-279

Upper Semicontinuous Valuations on the Space of Convex Discs

Author keywords

Convex disc; Curvature integral; Hadwiger's characterization theorem; Valuation

Indexed keywords


EID: 0010981202     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1005240024644     Document Type: Article
Times cited : (7)

References (20)
  • 5
    • 0001973248 scopus 로고
    • Approximation of convex bodies
    • P. M. Gruber and J. M. Wills (eds), Birkhäuser, Basel
    • Gruber, P. M.: Approximation of convex bodies, In: P. M. Gruber and J. M. Wills (eds), Convexity and its Applications, Birkhäuser, Basel, 1983, pp. 131-162.
    • (1983) Convexity and Its Applications , pp. 131-162
    • Gruber, P.M.1
  • 6
    • 0001327861 scopus 로고    scopus 로고
    • Comparisons of best and random approximation of convex bodies by polytopes
    • Gruber, P. M.: Comparisons of best and random approximation of convex bodies by polytopes, Suppl. Rend. Circ. Mat. Palermo 50 (1997), 189-216.
    • (1997) Suppl. Rend. Circ. Mat. Palermo , vol.50 , pp. 189-216
    • Gruber, P.M.1
  • 8
    • 77956559718 scopus 로고    scopus 로고
    • Contributions to affine surface area
    • Hug, D.: Contributions to affine surface area, Manuscripta Math. 91 (1996), 283-301.
    • (1996) Manuscripta Math. , vol.91 , pp. 283-301
    • Hug, D.1
  • 11
    • 0010981587 scopus 로고    scopus 로고
    • A characterization of affine length and asymptotic approximation of convex discs
    • Ludwig, M.: A characterization of affine length and asymptotic approximation of convex discs, Abh. Math. Semin. Univ. Hamb. 69 (1999), 75-88.
    • (1999) Abh. Math. Semin. Univ. Hamb. , vol.69 , pp. 75-88
    • Ludwig, M.1
  • 12
    • 85085674224 scopus 로고    scopus 로고
    • On the semicontinuity of curvature integrals
    • to appear
    • Ludwig, M.: On the semicontinuity of curvature integrals, Math. Nachr., to appear.
    • Math. Nachr.
    • Ludwig, M.1
  • 13
    • 0000537779 scopus 로고    scopus 로고
    • A characterization of affine surface area
    • Ludwig, M. and Reitzner, M.: A characterization of affine surface area, Adv. Math. 147 (1999), 138-172.
    • (1999) Adv. Math. , vol.147 , pp. 138-172
    • Ludwig, M.1    Reitzner, M.2
  • 14
    • 0016543715 scopus 로고
    • Polygonal approximation of plane convex bodies
    • McClure, D. and Vitale, R.: 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.1    Vitale, R.2
  • 15
    • 0001968639 scopus 로고
    • Valuations and dissections
    • P. M. Gruber and J. M. Wills (eds), North-Holland, Amsterdam
    • McMullen, P.: Valuations and dissections, In: P. M. Gruber and J. M. Wills (eds), Handbook of Convex Geometry B, North-Holland, Amsterdam, 1993, pp. 933-988.
    • (1993) Handbook of Convex Geometry B , pp. 933-988
    • McMullen, P.1
  • 16
    • 0002634852 scopus 로고
    • Valuations on convex bodies
    • P. M. Gruber and J. M. Wills (eds), Birkhäuser, Basel
    • McMullen, P. and Schneider, R.: Valuations on convex bodies, In: P. M. Gruber and J. M. Wills (eds), Convexity and its Applications, Birkhäuser, Basel, 1983, pp. 170-247.
    • (1983) Convexity and Its Applications , pp. 170-247
    • McMullen, P.1    Schneider, R.2
  • 17
    • 0042228070 scopus 로고    scopus 로고
    • private communication
    • Odor, T.: private communication.
    • Odor, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.