New developments in convexity theory

Constantin P. Niculescu
Center for Nonlinear Anlysis and its Applications,
University of Craiova, Craiova 1100, ROMANIA

The aim of our talk is to report on new results concerning:

• the extension of Choquet theory to signed measures

• the nonlinear theory of integration associated to means

• Jensen inequality for arbitrary positive measures (the results of Paolo Roselli and Michel Willem)