Improved Bounds on the Supremum of Autoconvolutions
نویسندگان
چکیده
We give a slight improvement of the best known lower bound for the supremum of autoconvolutions of nonnegative functions supported in a compact interval with a fixed integral. Also, by means of explicit examples we disprove a long standing natural conjecture of Schinzel and Schmidt concerning the extremal function for such autoconvolutions. 2000 Mathematics Subject Classification. Primary 42A85, Secondary 42A05, 11P70.
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