On the convexifiability of pseudoconvex C2-functions

Siegfried Schaible; Israel Zang

doi:10.1007/BF01581649

On the convexifiability of pseudoconvex C²-functions

Siegfried Schaible^*, Israel Zang

^*Corresponding author for this work

Coller School of Management

University of Alberta

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We present new criteria that characterize functions which are convex transformable by a suitable strictly increasing function. We concentrate on twice continuously differentiable pseudoconvex and strictly pseudoconvex functions, and derive conditions which are both necessary and sufficient for these functions to be convex transformable.

Original language	English
Pages (from-to)	289-299
Number of pages	11
Journal	Mathematical Programming
Volume	19
Issue number	1
DOIs	https://doi.org/10.1007/BF01581649
State	Published - Dec 1980

Keywords

Convexifiability
Generalized Convexity
Pseudoconvexity
Strict Pseudoconvexity

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10.1007/BF01581649

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AU - Zang, Israel

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KW - Convexifiability

KW - Generalized Convexity

KW - Pseudoconvexity

KW - Strict Pseudoconvexity

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On the convexifiability of pseudoconvex C²-functions

Abstract

Keywords

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