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.
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Schaible, S., Zang, I. On the convexifiability of pseudoconvex C2-functions. Mathematical Programming 19, 289–299 (1980). https://doi.org/10.1007/BF01581649
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DOI: https://doi.org/10.1007/BF01581649