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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 3, Pages 690–698
DOI: https://doi.org/10.33048/smzh.2022.63.316 (Mi smj7686) 		 
Generalizations of Bernstein-type inequalities for polynomials involving the polar derivative

I. Hussain

National Institute of Technology Srinagar
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DOI: https://doi.org/10.33048/smzh.2022.63.316
Abstract: We establish some $L^\gamma$-inequalities for the polar derivative of a polynomial. Our results generalize some known Bernstein-type polynomial inequalities and include as special cases several interesting generalizations of some Zygmund-type inequalities for polynomials as well.
Keywords: polar derivative, $L^\gamma$-inequality, zeros.
Funding agency Grant number
Government of India 0204/52/2019/R&D-II/315
The work is sponsored by National Board for Higher Mathematics (NBHM), Department of Atomic Energy (DAE), Government of India with reference to the Post Doctoral Fellowship file no. 0204/52/2019/R&D-II/315.
Received: 27.05.2021
Revised: 15.01.2022
Accepted: 10.02.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 3, Pages 575–582
DOI: https://doi.org/10.1134/S0037446622030168
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 35R30
Language: Russian
Citation: I. Hussain, “Generalizations of Bernstein-type inequalities for polynomials involving the polar derivative”, Sibirsk. Mat. Zh., 63:3 (2022), 690–698; Siberian Math. J., 63:3 (2022), 575–582
Citation in format AMSBIB
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\by I.~Hussain
\paper Generalizations of Bernstein-type inequalities for polynomials involving the polar derivative
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 3
\pages 690--698
\mathnet{http://mi.mathnet.ru/smj7686}
\crossref{https://doi.org/10.33048/smzh.2022.63.316}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4440603}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 3
\pages 575--582
\crossref{https://doi.org/10.1134/S0037446622030168}
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