Abstract
The paper presents a sufficient condition for quasiconvexity in terms of Hessian, hereby extending an earlier result by Katzner in 1970, and (by a slight modification of the assumptions) a necessary and sufficient condition for quasiconvexity.
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Crouzeix, JP. On second order conditions for quasiconvexity. Mathematical Programming 18, 349–352 (1980). https://doi.org/10.1007/BF01588330
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DOI: https://doi.org/10.1007/BF01588330