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Matematicheskie Zametki, 1973, Volume 13, Issue 5, Pages 647–654 (Mi mzm7168)  
This article is cited in 3 scientific papers (total in 3 papers)

Exact inequalities for the upper bounds of seminorms on a class of periodic functions

A. A. Ligun

Dnepropetrovsk State University
Full-text PDF (373 kB) Citations (3)
Abstract: We establish exact inequalities for the upper bounds of seminorms on classes of differentiable periodic functions, and as corollaries of them, exact inequalities between the best approximations by trigonometric polynomials of functions and their derivatives in the metrics of $C$ and $L$.
Received: 09.11.1972
English version:
Mathematical Notes, 1973, Volume 13, Issue 5, Pages 389–393
DOI: https://doi.org/10.1007/BF01147465
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. A. Ligun, “Exact inequalities for the upper bounds of seminorms on a class of periodic functions”, Mat. Zametki, 13:5 (1973), 647–654; Math. Notes, 13:5 (1973), 389–393
Citation in format AMSBIB
\Bibitem{Lig73}
\by A.~A.~Ligun
\paper Exact inequalities for the upper bounds of seminorms on a~class of periodic functions
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 5
\pages 647--654
\mathnet{http://mi.mathnet.ru/mzm7168}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=324281}
\zmath{https://zbmath.org/?q=an:0272.42002|0258.42003}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 5
\pages 389--393
\crossref{https://doi.org/10.1007/BF01147465}
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  • https://www.mathnet.ru/eng/mzm/v13/i5/p647
    • 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
    		Математические заметки Mathematical Notes
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