Generalized second-order characterizations of convex functions

Xiaoqi Yang

doi:10.1007/BF02191788

Generalized second-order characterizations of convex functions

Xiaoqi Yang

Research output: Journal article publication › Journal article › Academic research › peer-review

13 Citations (Scopus)

Abstract

We introduce a second-order upper Dini-directional derivative and obtain a second-order characterization for a continuously Gâteaux differentiable function to be a convex function.

Original language	English
Pages (from-to)	173-180
Number of pages	8
Journal	Journal of Optimization Theory and Applications
Volume	82
Issue number	1
DOIs	https://doi.org/10.1007/BF02191788
Publication status	Published - 1 Jul 1994
Externally published	Yes

Keywords

convex function
Second-order upper Dini-directional derivative
secondorder characterizations

ASJC Scopus subject areas

Control and Optimization
Management Science and Operations Research
Applied Mathematics

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10.1007/BF02191788

Cite this

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Generalized second-order characterizations of convex functions

Abstract

Keywords

ASJC Scopus subject areas

More information

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