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Matematicheskie Zametki, 2004, Volume 76, Issue 3, Pages 396–408
DOI: https://doi.org/10.4213/mzm116 (Mi mzm116) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Application of Conformal Mappings to Inequalities for Trigonometric Polynomials

A. V. Olesov

Maritime State University named after G. I. Nevelskoi
Full-text PDF (214 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm116
Abstract: In this paper, we obtain inequalities for trigonometric and algebraic polynomials supplementing and strengthening the classical results going back to papers of S. N. Bernstein and I. I. Privalov. The method of proof is based on the construction of the conformal and univalent mapping from a given trigonometric polynomial and on the application of results of the geometric theory of functions of a complex variable to this mapping.
Received: 21.07.2003
English version:
Mathematical Notes, 2004, Volume 76, Issue 3, Pages 368–378
DOI: https://doi.org/10.1023/B:MATN.0000043464.14845.88
Bibliographic databases:
UDC: 512.62+517.54
Language: Russian
Citation: A. V. Olesov, “Application of Conformal Mappings to Inequalities for Trigonometric Polynomials”, Mat. Zametki, 76:3 (2004), 396–408; Math. Notes, 76:3 (2004), 368–378
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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