Lower semicontinuous convex functions

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1989Publisher:Springer Berlin Heidelberg

Authors: Robert R. Phelps;

doi: 10.1007/bfb0089092 , 10.1007/978-3-662-21569-2_3

Lower semicontinuous convex functions

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Abstract

Our differentiability results for convex functions made heavy and consistent use of continuity, but in both theoretical and applied aspects of convex functions, it is sometimes desirable to weaken this hypothesis. Lower semicontinuity is precisely what is needed.

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