A note on the differentiability of conjugate functions

Archiv der Mathematik

Volumn 93, Issue 5, 2009, Pages 481-485

  Strömberg, Thomas ^a  

^a LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

Essential differentiability; Essential strict convexity; Legendre Fenchel transform

Indexed keywords

EID: 70949085043     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-009-0050-3     Document Type: Article

References (10)

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3. W. Fenchel 1949 On conjugate convex functions Canadian J. Math. 1 73 77 0038.20902 28365
4. J.-B. Hiriart-Urruty 2005 La conjecture des points les plus éloignés revisitée Ann. Sci. Math. Québec 29 197 214 1129.46007 2309707
5. P. L. Lions, Generalized solutions of Hamilton-Jacobi equations, Research Notes in Mathematics 69, Pitman: Boston-London, 1982.
6. R. T. Rockafellar, Convex analysis, Princeton Mathematical Series, Princeton University Press: Princeton, N.J., 1970.
7. R. T. Rockafellar and R. Wets, Variational analysis, Grundlehren der Mathematischen Wissenschaften, 317, Berlin: Springer-Verlag 1998.
8. V. Soloviov 1993 Duality for nonconvex optimization and its applications Anal. Math. 19 297 315 0806.49026 10.1007/BF01948562 1268040
9. V. Soloviov, Characterizations of convexity in terms of smoothness, Moscow Aviation Institute; preprint of the Department of Probability Theory (1995).
10. T. Strömberg 2002 The Hopf-Lax formula gives the unique viscosity solution Differential Integral Equations 15 47 52 1026.49023 1869821