Improved bounds on the supremum of autoconvolutions

Máté Matolcsi, Carlos Vinuesa

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)439-447.e2
JournalJournal of Mathematical Analysis and Applications
Volume372
Issue number2
DOIs
Publication statusPublished - Dec 2010

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Keywords

  • Autoconvolution of nonnegative functions
  • B[g]-sets
  • Generalized Sidon sets

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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