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Matematicheskie Zametki, 1973, Volume 13, Issue 4, Pages 493–498 (Mi mzm7147)  

Estimates of the derivative of a rational function

V. N. Rusak

Belarusian State University
Abstract: We investigate some regular rational functions on the real axis, with fixed poles, conjugate in pairs, of half-integer order. An extremal equality is obtained, which generalizes one of L. V. Taikov's results for trigonometric polynomials.
English version:
Mathematical Notes, 1973, Volume 13, Issue 4, Pages 299–302
DOI: https://doi.org/10.1007/BF01146562
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. N. Rusak, “Estimates of the derivative of a rational function”, Mat. Zametki, 13:4 (1973), 493–498; Math. Notes, 13:4 (1973), 299–302
Citation in format AMSBIB
\Bibitem{Rus73}
\by V.~N.~Rusak
\paper Estimates of the derivative of a~rational function
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 4
\pages 493--498
\mathnet{http://mi.mathnet.ru/mzm7147}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=344395}
\zmath{https://zbmath.org/?q=an:0266.26013|0256.26014}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 4
\pages 299--302
\crossref{https://doi.org/10.1007/BF01146562}
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  • https://www.mathnet.ru/eng/mzm/v13/i4/p493
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