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Series of convex functions: subdifferential, conjugate and applications to entropy minimization

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Publication:3179424
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zbMath1354.49032arXiv1506.01216MaRDI QIDQ3179424

Constantin Zalinescu, Claude Vallee

Publication date: 21 December 2016

Full work available at URL: https://arxiv.org/abs/1506.01216


zbMATH Keywords

subdifferentialstatistical physicsconjugate functionentropy minimizationseries of convex functions


Mathematics Subject Classification ID

Nonsmooth analysis (49J52)


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Hiriart-Urruty-Phelps-like formula for the subdifferential of integral sums ⋮ On the entropy minimization problem in statistical mechanics ⋮ Characterizations of the subdifferential of convex integral functions under qualification conditions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Formulae for the conjugate and the subdifferential of the supremum function ⋮ Duality for constrained robust sum optimization problems ⋮ Qualification conditions-free characterizations of the \(\varepsilon \)-subdifferential of convex integral functions ⋮ Subdifferential Calculus Rules for Possibly Nonconvex Integral Functions ⋮ Duality for Optimization Problems with Infinite Sums




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