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Volumn 24, Issue 3-4, 2003, Pages 303-309

Some geometrical properties of outer γ-convex sets

Author keywords

Generalized convexity; Nonconvexity measure; Outer convex set; Self Jung constant; Separation theorem; Simplex property

Indexed keywords

GLOBAL OPTIMIZATION; THEOREM PROVING;

EID: 0042161925     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1081/nfa-120022924     Document Type: Article
Times cited : (3)

References (13)
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  • 2
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  • 5
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    • On some covering and intersection properties in Minkowski spaces
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  • 6
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    • Über die kleinste Kugel, die eine räumliche Figur einschließt
    • Jung, H. E. W. (1901). Über die kleinste Kugel, die eine räumliche Figur einschließt. J. Reine Angew. Math. 123:241-257.
    • (1901) J. Reine Angew. Math. , vol.123 , pp. 241-257
    • Jung, H.E.W.1
  • 7
    • 0001301856 scopus 로고
    • Circumspheres and inner products
    • Klee, V. (1960). Circumspheres and inner products. Math. Scand. 8:363-370.
    • (1960) Math. Scand. , vol.8 , pp. 363-370
    • Klee, V.1
  • 8
    • 0004534203 scopus 로고
    • Zwei extremalprobleme der Minkowski-geometrie
    • Leichtweiss, K. (1955). Zwei extremalprobleme der Minkowski-geometrie. Math. Z. 62:37-49.
    • (1955) Math. Z. , vol.62 , pp. 37-49
    • Leichtweiss, K.1
  • 9
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    • Uniformly normal structure and related coefficients
    • Maluta, E. (1984). Uniformly normal structure and related coefficients. Pacific J. Math. 111:357-369.
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    • Maluta, E.1
  • 10
    • 0042574681 scopus 로고    scopus 로고
    • Outer γ-convexity in normed linear spaces
    • Phu, H. X., An, P. T. (1999). Outer γ-convexity in normed linear spaces. Vietnam J. Math. 27:323-334.
    • (1999) Vietnam J. Math. , vol.27 , pp. 323-334
    • Phu, H.X.1    An, P.T.2
  • 11
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    • English transl.: Math. Notes 43:348-354
    • p. Mat. Zemetki 43:604-614, English transl.: Math. Notes 43:348-354.
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  • 12
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    • A result in Hilbert space
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  • 13
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    • Valentine, F. A. (1964). Convex Sets. New York: McGraw-Hill Book Company.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.