Periodica Mathematica Hungarica
Volume/Issue:
Volume 52: Issue 2
On a  stronger form  of Salem-Zygmund's inequality for random trigonometric sums with examples
Author:
Michel Weber U.F.R. de Mathématique (IRMA) Université Louis-Pasteur et C.N.R.S. 7 rue René Descartes, F-67084 Strasbourg Cedex, France 7 rue René Descartes, F-67084 Strasbourg Cedex, France

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Pages:
73–104
Online Publication Date:
12 Oct 2006
Publication Date:
12 Jun 2006
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10998-006-0013-4
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Summary  

By applying the majorizing measure method, we obtain a new estimate  of the supremum of random  trigonometric sums. We show that this estimate is strictly stronger than the well-known Salem-Zygmund's estimate, as well as recent general formulations of it obtained by the author. This improvement is obtained by considering the case when the characters are indexed on  sub-exponentially growing sequences of integers. Several remarkable examples are studied.

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Cover Periodica Mathematica Hungarica
Periodica Mathematica Hungarica
Print ISSN:
0031-5303
Online ISSN:
1588-2829

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Periodica Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1971
Volumes
per Year		 2
Issues
per Year		 4
Founder Bolyai János Matematikai Társulat - János Bolyai Mathematical Society
Founder's
Address		 H-1055 Budapest, Hungary Falk Miksa u. 12.I/4.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0031-5303 (Print)
ISSN 1588-2829 (Online)

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