Conjugation and second-order properties of convex functions

DOI10.1016/0022-247X(91)90237-TzbMath0739.26009OpenAlexW2071283957MaRDI QIDQ1176297

Gianluca Gorni

Publication date: 25 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90237-t

zbMATH Keywords

inequalitiesconjugate functionsecond-order subdifferentialsecond-order properties of convex functionsupper second-order derivatives

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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Cites Work

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• Maximal monotone relations and the second derivatives of nonsmooth functions
• Calculus rules on a new set—valued second order derivative for convex functions
• The Second-Order Subdifferential and the Dupin Indicatrices of a Non-Differentiable Convex Function
• A relationship between the second derivatives of a convex function and of its conjugate

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