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Volumn 59, Issue 2, 2004, Pages 221-233

Is every radiant function the sum of quasiconvex functions?

Author keywords

Abstract convexity; Nonlinear separation; Quasiconvex functions; Radiant functions

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; SET THEORY; THEOREM PROVING;

EID: 21144444533     PISSN: 14322994     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001860300325     Document Type: Article
Times cited : (25)

References (13)
  • 1
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    • Additively decomposed quasiconvex functions
    • Crouzeix J-P, Lindberg (1986) Additively decomposed quasiconvex functions. Math. Programming 35:42-57
    • (1986) Math. Programming , vol.35 , pp. 42-57
    • Crouzeix, J.-P.1    Lindberg2
  • 2
    • 52449145738 scopus 로고
    • Sur la fonction d'appui des ensembles convexes dans un espace localement convexe
    • Hörmander PL (1958) Sur la fonction d'appui des ensembles convexes dans un espace localement convexe. Arkiv för Matematik 3:181-88
    • (1958) Arkiv för Matematik , vol.3 , pp. 181-188
    • Hörmander, P.L.1
  • 5
    • 0002141979 scopus 로고    scopus 로고
    • P-functions, quasiconvex functions and hadamard-type inequalities
    • Pearce CEM, Rubinov AM (1999) P-functions, Quasiconvex functions and Hadamard-type inequalities. J. Math. Anal. Appl. 240:92-104
    • (1999) J. Math. Anal. Appl. , vol.240 , pp. 92-104
    • Pearce, C.E.M.1    Rubinov, A.M.2
  • 6
    • 0142014433 scopus 로고    scopus 로고
    • Duality for radiant and shady programs
    • Penot J-P (1997) Duality for radiant and shady programs. Acta. Math. Vietnamica 22:541-566
    • (1997) Acta. Math. Vietnamica , vol.22 , pp. 541-566
    • Penot, J.-P.1
  • 7
    • 0007107394 scopus 로고    scopus 로고
    • What is quasiconvex analysis
    • Penot J-P (2000) What is Quasiconvex Analysis. Optimization 47:35-110
    • (2000) Optimization , vol.47 , pp. 35-110
    • Penot, J.-P.1
  • 9
    • 0010889453 scopus 로고
    • Conjugate quasiconvex nonnegative functions
    • Rubinov AM, Simsek B (1995) Conjugate quasiconvex nonnegative functions. Optimization 35:1-22
    • (1995) Optimization , vol.35 , pp. 1-22
    • Rubinov, A.M.1    Simsek, B.2
  • 11
    • 0040153760 scopus 로고    scopus 로고
    • Separability of star-shaped sets and its application to an optimization problem
    • Shveidel A (1997) Separability of star-shaped sets and its application to an optimization problem. Optimization 40:207-227
    • (1997) Optimization , vol.40 , pp. 207-227
    • Shveidel, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.