Improved bounds on the supremum of autoconvolutions
arXiv:0907.1379
Abstract
We give a slight 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.
15 pages. Some typos have been corrected, the best examples have been slightly improved, two plots of them have been included and some remarks have been added