a Alfréd Rényi Institute of Mathematics, Realtanoda u. 13-15, Budapest, Hungary b Universidad Autónoma de Madrid, Ciudad Universitaria de Cantoblanco, Madrid, Spain
Abstract:
We give an improvement of the best known lower bound for the supremum of autoconvolutions of nonnegative functions supported in a compact interval. Also, by means of explicit examples we disprove a long standing natural conjecture of Schinzel and Schmidt concerning the extremal function for such autoconvolutions.
