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On the points of non-differentiability of convex functions. (English) Zbl 1100.26006
Summary: We characterize sets of non-differentiability points of convex functions on \(\mathbb R^n\). This completes (in \(\mathbb R^n\)) the result by L. Zajíček [Czech. Math. J. 29 (104), 340–348 (1979; Zbl 0429.46007)] which gives a characterization of the magnitude of these sets.
MSC:
26B25 Convexity of real functions of several variables, generalizations
26B05 Continuity and differentiation questions
49J50 Fréchet and Gateaux differentiability in optimization
49J52 Nonsmooth analysis
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