%0 Journal Article %A Bauschke, Heinz H. %A Lucet, Yves %A Phan, Hung M. %T On the convexity of piecewise-defined functions %J ESAIM: Control, Optimisation and Calculus of Variations %D 2016 %P 728-742 %V 22 %N 3 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv/2015023/ %R 10.1051/cocv/2015023 %G en %F COCV_2016__22_3_728_0