Global approximation of convex functions by differentiable convex functions on Banach spaces

zbMath1347.46011arXiv1411.0471MaRDI QIDQ2789241

Carlos Mudarra, Daniel Azagra

Publication date: 26 February 2016

Full work available at URL: https://arxiv.org/abs/1411.0471

zbMATH Keywords

convex functiondifferentiable functionlocally rotund norm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex functions and convex programs in convex geometry (52A41) Derivatives of functions in infinite-dimensional spaces (46G05)

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Gâteaux differentiability and uniform monotone approximation of convex functions in Banach spaces ⋮ Uniform approximation of convex function in smooth Banach spaces

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