Generalized second-order characterizations of convex functions

DOI10.1007/BF02191788zbMath0803.49022OpenAlexW2050521754MaRDI QIDQ1335132

Xiao Qi Yang

Publication date: 27 September 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02191788

zbMATH Keywords

convex functionGâteaux differentiable functionupper Dini-directional derivative

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50)

Related Items

On characterization of convexity for regularly locally Lipschitz functions, Continuous generalized convex functions and their characterizations, Second-order subdifferentials and convexity of real-valued functions, Numerical solution of an adhesion problem with FEM and BEM, Characterizing convexity of a function by its Fréchet and limiting second-order subdifferentials, What is quasiconvex analysis?, Minimal approximate Hessians for continuously Gâteaux differentiable functions, Second-Order Characterizations of Convex and Pseudoconvex Functions, Characterization of strict convexity for locally Lipschitz functions, On relations and applications of generalized second-order directional derivatives, Approximate generalized Hessians and Taylor’s expansions for continuously Gâteaux differentiable functions

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