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Matematicheskie Zametki, 2015, Volume 98, Issue 2, Pages 196–203
DOI: https://doi.org/10.4213/mzm10610 (Mi mzm10610) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Some Trigonometric Polynomials with Extremally Small Uniform Norm

P. G. Grigor'eva, A. O. Radomskiib

a Geogracom Ltd, Moscow, Russia
b National Engineering Physics Institute "MEPhI", Moscow
Full-text PDF (441 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm10610
Abstract: An example of trigonometric polynomials with extremally small uniform norm is given. This example shows the extent to which Sidon's inequality for lacunary polynomials can be generalized in a certain direction.
Keywords: trigonometric polynomial, lacunary polynomial, Sidon's inequality, Fejér kernel, Carleson–Hunt inequality.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-3682.2014.1
The work of the second author was supported by the program "Leading Scientific Schools" (grant no. NSh-3682.2014.1).
Received: 24.07.2014
English version:
Mathematical Notes, 2015, Volume 98, Issue 2, Pages 230–236
DOI: https://doi.org/10.1134/S000143461507024X
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: P. G. Grigor'ev, A. O. Radomskii, “Some Trigonometric Polynomials with Extremally Small Uniform Norm”, Mat. Zametki, 98:2 (2015), 196–203; Math. Notes, 98:2 (2015), 230–236
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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