Extensions of convex functions with prescribed subdifferentials

DOI10.4064/sm181212-17-5OpenAlexW3002024369WikidataQ126318216 ScholiaQ126318216MaRDI QIDQ3298529

Carlos Mudarra, Juan Ferrera, Daniel Azagra, Javier Gómez Gil

Publication date: 14 July 2020

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05538

zbMATH Keywords

convex functionsubdifferentialset-valued mappingBanach spaceextension

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued maps in general topology (54C60) Continuity and differentiation questions (26B05) Extension of maps (54C20) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

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• Finite extensions of convex functions
• Whitney extension theorems for convex functions of the classes C1 and C1,ω
• On the continuity and regularity of convex extensions
• Convex Analysis

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