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Matematicheskie Zametki, 1969, Volume 5, Issue 2, Pages 183–194 (Mi mzm6823)  
Some estimates of the derivatives of algebraic polynomials and their applications to approximate differentiation

N. S. Baiguzov

Ural State University
Full-text PDF (700 kB)
Abstract: Asymptotics are found of the exact upper bound of the maximum of the derivatives on an interval for a class of algebraic polynomials of a specified degree which possess a majorization on a given set of points in the basic segment. Application to approximate differentiation is given.
Received: 05.04.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 2, Pages 112–118
DOI: https://doi.org/10.1007/BF01098309
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: N. S. Baiguzov, “Some estimates of the derivatives of algebraic polynomials and their applications to approximate differentiation”, Mat. Zametki, 5:2 (1969), 183–194; Math. Notes, 5:2 (1969), 112–118
Citation in format AMSBIB
\Bibitem{Bai69}
\by N.~S.~Baiguzov
\paper Some estimates of the derivatives of algebraic polynomials and their applications to approximate differentiation
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 2
\pages 183--194
\mathnet{http://mi.mathnet.ru/mzm6823}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=240530}
\zmath{https://zbmath.org/?q=an:0177.08602|0174.09801}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 2
\pages 112--118
\crossref{https://doi.org/10.1007/BF01098309}
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