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Problemy Analiza — Issues of Analysis, 2023, Volume 12(30), Issue 1, Pages 25–33
DOI: https://doi.org/10.15393/j3.art.2023.11810 (Mi pa366) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Generalizations of certain well-known inequalities for rational functions

M. Y. Mir, S. L. Wali, W. M. Shah

Department of Mathematics, Central University of Kashmir, Ganderbal-191201, India
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DOI: https://doi.org/10.15393/j3.art.2023.11810
Abstract: In this paper we generalize and refine a result of Wali and Shah concerning the estimate of the derivative of the maximum modulus of rational functions with prescribed poles and restricted zeros. The obtained results generalize and sharpen some well-known inequalities for the derivative of rational functions besides the refinement of some polynomial inequalities.
Keywords: polynomial, rational function, $s$-fold zeros, Bernstein-type inequality.
Funding agency Grant number
Department of Science and Technology, India
The first author is highly thankful to the funding agency DST-INSPIRE for their financial support.
Received: 04.05.2022
Revised: 25.11.2022
Accepted: 29.11.2022
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30A10, 30C10, 26D10
Language: English
Citation: M. Y. Mir, S. L. Wali, W. M. Shah, “Generalizations of certain well-known inequalities for rational functions”, Probl. Anal. Issues Anal., 12(30):1 (2023), 25–33
Citation in format AMSBIB
\Bibitem{MirWalSha23}
\by M.~Y.~Mir, S.~L.~Wali, W.~M.~Shah
\paper Generalizations of certain well-known inequalities for rational functions
\jour Probl. Anal. Issues Anal.
\yr 2023
\vol 12(30)
\issue 1
\pages 25--33
\mathnet{http://mi.mathnet.ru/pa366}
\crossref{https://doi.org/10.15393/j3.art.2023.11810}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4582290}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Problemy Analiza — Issues of Analysis
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