Matolcsi, Máté and Vinuesa, Carlos (2010) Improved bounds on the supremum of autoconvolutions. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 372 (2). pp. 439-447. ISSN 0022-247X
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Generalized Sidon sets; B2[g]-sets; Autoconvolution of nonnegative functions; NUMBER; SQUARES; SEQUENCES; Polynomials; SETS; Generalized Sidon sets; B(2)[g]-sets |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 09 Dec 2013 15:25 |
| Last Modified: | 09 Dec 2013 15:25 |
| URI: | http://real.mtak.hu/id/eprint/7892 |
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