Abstract:
In this paper, we establish some Bernstein-type inequalities for rational functions with prescribed poles. These results refine prior inequalities on rational functions and strengthen many well-known polynomial inequalities.
\Bibitem{Qas22}
\by Idrees~Qasim
\paper Refinement of some Bernstein type inequalities for rational functions
\jour Probl. Anal. Issues Anal.
\yr 2022
\vol 11(29)
\issue 1
\pages 122--132
\mathnet{http://mi.mathnet.ru/pa346}
\crossref{https://doi.org/10.15393/j3.art.2022.11350}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4396959}
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https://www.mathnet.ru/eng/pa346
https://www.mathnet.ru/eng/pa/v29/i1/p122
This publication is cited in the following 3 articles:
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
Aschale Moges BELAY, Snehashish CHAKRAVERTY, “Extension of Synthetic Division and Its Applications”, Universal Journal of Mathematics and Applications, 2024, 59
Nisar Ahmad Rather, Mohmmad Shafi Wani, Ishfaq Dar, “Inequalities pertaining to rational functions with prescribed poles”, Ural Math. J., 8:2 (2022), 143–152
Citation in format AMSBIB
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