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An example of bad convex function
Authors:D. Zagrodny
Affiliation:(1) Institute of Mathematics, Technical University of Lód"zacute", Lód"zacute", Poland
Abstract:An example of a convex function having the gradient at each point (x, 0, ..., 0),x>0, which does not converge, whenx tends to zero, is given.The author would like to thank Professor Giannessi for his help, which led to an improved version of this paper.
Keywords:Convex functions  gradients  differentiability  convex analysis
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