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Matematicheskie Zametki, 2011, Volume 89, Issue 4, Pages 589–595
DOI: https://doi.org/10.4213/mzm9098 (Mi mzm9098) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On an Inequality of Sidon Type for Trigonometric Polynomials

A. O. Radomskii

M. V. Lomonosov Moscow State University
Full-text PDF (345 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm9098
Abstract: We establish a lower bound for the uniform norm of the trigonometric polynomial of special form via the sum of the $L^1$-norms of its summands. This result generalizes a theorem due to Kashin and Temlyakov, which, in turn, generalizes the classical Sidon inequality.
Keywords: trigonometric polynomial, Sidon inequality, lacunary sequence, lacunarity index, Vallée-Poussin kernel.
Received: 17.11.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 4, Pages 555–561
DOI: https://doi.org/10.1134/S0001434611030266
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. O. Radomskii, “On an Inequality of Sidon Type for Trigonometric Polynomials”, Mat. Zametki, 89:4 (2011), 589–595; Math. Notes, 89:4 (2011), 555–561
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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