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Problemy Analiza — Issues of Analysis, 2024, Volume 13(31), Issue 1, Pages 3–23
DOI: https://doi.org/10.15393/j3.art.2024.14270 (Mi pa388) 		 
Smirnov and Bernstein-type inequalities, taking into account higher-order coefficients and free terms of polynomials

E. G. Kompaneets, L. G. Zybina

Petrozavodsk State University, 33 Lenina pr., Petrozavodsk 185910, Russia
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DOI: https://doi.org/10.15393/j3.art.2024.14270
Abstract: The starting point in the theory of differential inequalities for polynomials is the book "Investigation of aqueous solutions by specific gravity" by D. I. Mendeleev. In this work, he dealt not only with chemical, but also mathematical problems. The question raised in this book led to appearance of a large number of works on various types of differential inequalities for polynomials. In our paper, we obtain Smirnov and Bernstein-type inequalities that use higher-order coefficients and free terms of polynomials.
Keywords: polynomial, differential inequality, higher-order coefficient, free term.
Received: 15.07.2023
Accepted: 03.11.2023
Document Type: Article
UDC: 517.83
MSC: 30C10, 30A10
Language: English
Citation: E. G. Kompaneets, L. G. Zybina, “Smirnov and Bernstein-type inequalities, taking into account higher-order coefficients and free terms of polynomials”, Probl. Anal. Issues Anal., 13(31):1 (2024), 3–23
Citation in format AMSBIB
\Bibitem{KomZyb24}
\by E.~G.~Kompaneets, L.~G.~Zybina
\paper Smirnov and Bernstein-type inequalities, taking into account higher-order coefficients and free terms of polynomials
\jour Probl. Anal. Issues Anal.
\yr 2024
\vol 13(31)
\issue 1
\pages 3--23
\mathnet{http://mi.mathnet.ru/pa388}
\crossref{https://doi.org/10.15393/j3.art.2024.14270}
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