Improved bounds on the supremum of autoconvolutions
classification
🧮 math.CA
math.NT
keywords
autoconvolutionssupremumbestboundboundscompactconcerningconjecture
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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.
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