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.
- Autoconvolution of nonnegative functions
- Generalized Sidon sets
ASJC Scopus subject areas
- Applied Mathematics