Segmented copolymers having one or more olefin polymer segments and one or more imide-containing are useful for the modification of polyolefins, of polar polymers, and of blends thereof. The polymers can be produced by imidisation of corresponding olefin polymer/(meth)acrylate ester polymer segmented polymer, preferably in a devolatilizing extruder, in the presence of ammonia or primary amines so producing a polymer having one or more segments of polymer containing cyclic imide groups.