Self-Dual Smooth Approximations of Convex Functions via the Proximal Average

DOI10.1007/978-1-4419-9569-8_2zbMath1250.26015arXiv1003.5866OpenAlexW1536462627MaRDI QIDQ2897273

Heinz H. Bauschke, Sarah M. Moffat, Shawn Xianfu Wang

Publication date: 10 July 2012

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.5866

zbMATH Keywords

approximationconvex functionMoreau envelopeFenchel conjugateproximal averageGoebel smoothing operator

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Convex programming (90C25) Continuity and differentiation questions (26B05) Convexity of real functions of several variables, generalizations (26B25)

Related Items

Computing the conjugate of convex piecewise linear-quadratic bivariate functions, Computing the partial conjugate of convex piecewise linear-quadratic bivariate functions, Techniques and Open Questions in Computational Convex Analysis, Computation of the epsilon-subdifferential of convex piecewise linear-quadratic functions in optimal worst-case time

Uses Software

• na13

Cites Work

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