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Sets of differentials and smoothness of convex functions. (English) Zbl 0839.46008
Summary: Approximation by smooth convex functions and questions on the smooth variational principle for a given convex function \(f\) on a Banach space are studied in connection with majorising \(f\) by \(C^1\)-smooth functions.
46B03 Isomorphic theory (including renorming) of Banach spaces
41A30 Approximation by other special function classes
Full Text: DOI
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