On the representability of a function of two variables as the difference of two convex functions

DOI10.1134/S0037446614060147zbMath1320.26012arXiv1204.1727MaRDI QIDQ2352693

Igor M. Prudnikov

Publication date: 3 July 2015

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1727

zbMATH Keywords

rotationconvex functioncurvatureLipschitz functionvariationDC function

Mathematics Subject Classification ID

Convex programming (90C25) Nonconvex programming, global optimization (90C26) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items (2)

Interpolation results for pathwise Hamilton-Jacobi equations ⋮ A non-DC function which is DC along all convex curves

Cites Work

• On functions representable as a difference of convex functions
• On the surfaces representable as difference of convex functions
• NECESSARY AND SUFFICIENT CONDITIONS FOR THE REPRESENTABILITY OF A POSITIVE HOMOGENEOUS FUNCTION OF THREE VARIABLES IN THE FORM OF A DIFFERENCE OF CONVEX FUNCTIONS
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