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Volumn 126, Issue 2, 2005, Pages 357-366

On a functional operation generating convex functions, part 2: Algebraic properties

Author keywords

Convexity; Fenchel conjugacy; Multiplicative potential functions

Indexed keywords

FUNCTIONS;

EID: 23844493140     PISSN: 00223239     EISSN: 15732878     Source Type: Journal    
DOI: 10.1007/s10957-005-4721-3     Document Type: Article
Times cited : (26)

References (8)
  • 1
    • 23744474323 scopus 로고    scopus 로고
    • On a functional operation generating convex functions, part I: Duality
    • MARÉCHAL, P., On a Functional Operation Generating Convex Functions, Part I: Duality, Journal of Optimization Theory and Applications, Vol. 126, pp. 175-189, 2005.
    • (2005) Journal of Optimization Theory and Applications , vol.126 , pp. 175-189
    • Maréchal, P.1
  • 2
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • ROCKAFELLAR, R. T., Convex Analysis, Princeton University Press, Princeton, New Jersey, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 5
    • 0027114324 scopus 로고
    • Generalized convexity on affine subspaces with an application to potential functions
    • CROUZEIX, J. P., FERLAND, J. A., and SCHAIBLE, S., Generalized Convexity on Affine Subspaces with an Application to Potential Functions, Mathematical Programming, Vol. 56, pp. 223-232, 1992.
    • (1992) Mathematical Programming , vol.56 , pp. 223-232
    • Crouzeix, J.P.1    Ferland, J.A.2    Schaible, S.3
  • 6
    • 23844433183 scopus 로고
    • Index Multiplicatifs de Convexité/Concavité et Applications
    • Bruxelles, Belgium
    • CROUZEIX, J. P., and KEBBOUR, R., Index Multiplicatifs de Convexité/Concavité et Applications, Cahiers du Centre de Recherche Opérationnelle, Bruxelles, Belgium, Vol. 34, pp. 7-24, 1992.
    • (1992) Cahiers du Centre de Recherche Opérationnelle , vol.34 , pp. 7-24
    • Crouzeix, J.P.1    Kebbour, R.2
  • 7
    • 0023862591 scopus 로고
    • On the convexity of the multiplicative version of Karmarkar's potential function
    • IMAI, I., On the Convexity of the Multiplicative Version of Karmarkar's Potential Function, Mathematical Programming, Vol. 40, pp. 29-32, 1988.
    • (1988) Mathematical Programming , vol.40 , pp. 29-32
    • Imai, I.1
  • 8
    • 0012315812 scopus 로고    scopus 로고
    • On the convexity of the multiplicative potential and penalty functions and related topics
    • MARÉCHAL, P., On the Convexity of the Multiplicative Potential and Penalty Functions and Related Topics, Mathematical Programming, Vol. 89 A, pp. 505-516, 2001.
    • (2001) Mathematical Programming , vol.89 A , pp. 505-516
    • Maréchal, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.