@article{COCV_2016__22_3_728_0, author = {Bauschke, Heinz H. and Lucet, Yves and Phan, Hung M.}, title = {On the convexity of piecewise-defined functions}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {728--742}, publisher = {EDP-Sciences}, volume = {22}, number = {3}, year = {2016}, doi = {10.1051/cocv/2015023}, zbl = {1356.26005}, mrnumber = {3527941}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/cocv/2015023/} }