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Matematicheskie Zametki, 2006, Volume 80, Issue 3, Pages 421–428
DOI: https://doi.org/10.4213/mzm2828 (Mi mzm2828) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Nikol'skii-Stechkin inequality for trigonometric polynomials in L0

È. A. Storozhenko

I. I. Mechnikov Odessa National University
Full-text PDF (396 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm2828
Abstract: In this paper, the Nikol'skii–Stechkin inequality for the trigonometric polynomials is generalized to the space L0. The resulting estimates are final.
Keywords: Nikol'skii–Stechkin inequality, trigonometric polynomial, algebraic polynomial, Euler's formula.
Received: 23.08.2005
English version:
Mathematical Notes, 2006, Volume 80, Issue 3, Pages 403–409
DOI: https://doi.org/10.1007/s11006-006-0153-0
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: È. A. Storozhenko, “Nikol'skii-Stechkin inequality for trigonometric polynomials in L0”, Mat. Zametki, 80:3 (2006), 421–428; Math. Notes, 80:3 (2006), 403–409
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm2828
  • https://www.mathnet.ru/eng/mzm/v80/i3/p421
    • This publication is cited in the following 2 articles:
    1. Akgun R., “Polynomial Approximation in Bergman Spaces”, Ukr. Math. J., 68:4 (2016), 485–501  crossref  mathscinet  isi  scopus
    2. V. V. Arestov, “Sharp inequalities for trigonometric polynomials with respect to integral functionals”, Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S21–S36  mathnet  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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