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Problemy Analiza — Issues of Analysis, 2022, Volume 11(29), Issue 1, Pages 122–132
DOI: https://doi.org/10.15393/j3.art.2022.11350
(Mi pa346)
 

This article is cited in 3 scientific papers (total in 3 papers)

Refinement of some Bernstein type inequalities for rational functions

Idrees Qasim

Department of Mathematics, National Institute of Technology, Srinagar, India, 190006
References:
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.
Keywords: rational functions, polynomial inequalities, polar derivative, poles, zeros.
Received: 14.08.2021
Revised: 28.12.2021
Accepted: 30.12.2021
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30A10, 30C15, 30D15
Language: English
Citation: Idrees Qasim, “Refinement of some Bernstein type inequalities for rational functions”, Probl. Anal. Issues Anal., 11(29):1 (2022), 122–132
Citation in format AMSBIB
\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:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Problemy Analiza — Issues of Analysis
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