Geodesic
Certain Estimates of Turán's-type For the Maximum Modulus of the Polar Derivative of a Polynomial
Publications de l'Institut Mathématique, _N_S_108 (2020) no. 122, p. 121

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DOI

We establish some lower bound estimates for the maximum modulus of the polar derivative of a polynomial on the unit disk under the assumption that the polynomial has all zeros in another disk. The obtained results sharpen as well as generalize some estimates of Turán's-type that relate the uniform-norm of the polar derivative and the polynomial.
DOI : 10.2298/PIM2022121M
Classification : 30A10, 30C10, 30C15
Keywords: Turán's classical inequality, minimum modulus principle, polar derivative 
Gradimir V. Milovanović; Abdullah Mir; Abrar Ahmad. Certain Estimates of Turán's-type For the Maximum Modulus of the Polar Derivative of a Polynomial. Publications de l'Institut Mathématique, _N_S_108 (2020) no. 122, p. 121 . doi: 10.2298/PIM2022121M
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     title = {Certain {Estimates} of {Tur\'an's-type} {For} the {Maximum} {Modulus} of the {Polar} {Derivative} of a {Polynomial}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {121 },
     year = {2020},
     volume = {_N_S_108},
     number = {122},
     doi = {10.2298/PIM2022121M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM2022121M/}
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