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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, Volume 8, Issue 3, Pages 502–510
DOI: https://doi.org/10.21638/spbu01.2021.311 (Mi vspua99) 		 
MATHEMATICS

Lp-inequalities for the polar derivative of a lacunary-type polynomial

N. A. Rathera, L. Alia, S. Gulzarb

a Department of Mathematics, University of Kashmir, Srinagar, 190006, India
b Department of Mathematics, Government College for Engineering & Technology, Safapora, Ganderbal, Kashmir, 193504, India
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DOI: https://doi.org/10.21638/spbu01.2021.311
Abstract: In this paper, we extend an inequality concerning the polar derivative of a polynomial in $L_p$-norm to the class of lacunary polynomials and thereby obtain a bound that depends on some of the coefficients of the polynomial as well.
Keywords: $L_p$-inequalities, polar derivative, polynomials.
Received: 30.08.2020
Revised: 24.11.2020
Accepted: 19.03.2020
Document Type: Article
UDC: 517.5
MSC: 30C10, 26D10, 41A17
Language: Russian
Citation: N. A. Rather, L. Ali, S. Gulzar, “Lp-inequalities for the polar derivative of a lacunary-type polynomial”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 8:3 (2021), 502–510
Citation in format AMSBIB
\Bibitem{RatAliGul21}
\by N.~A.~Rather, L.~Ali, S.~Gulzar
\paper Lp-inequalities for the polar derivative of a lacunary-type polynomial
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2021
\vol 8
\issue 3
\pages 502--510
\mathnet{http://mi.mathnet.ru/vspua99}
\crossref{https://doi.org/10.21638/spbu01.2021.311}
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