scholarly journals On maximum modulus of polar derivative of a polynomial

2021 ◽  
Keyword(s):  
Maximum Modulus ◽  
Polar Derivative ◽  
Derivative Of A Polynomial

scholarly journals Certain estimates of Turán’s-type for the maximum modulus of the polar derivative of a polynomial

2020 ◽  
Vol 108 (122) ◽  
pp. 121-130
Author(s):  
Gradimir Milovanovic ◽  
Abdullah Mir ◽  
Abrar Ahmad
Keyword(s):  
Lower Bound ◽  
Unit Disk ◽  
Maximum Modulus ◽  
Uniform Norm ◽  
Polar Derivative ◽  
Derivative Of A Polynomial

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 Turan?s-type that relate the uniform-norm of the polar derivative and the polynomial.

scholarly journals Some Lp Inequalities for the Polar Derivative of a Polynomial

2001 ◽  
Vol 254 (2) ◽  
pp. 618-626 ◽  
Author(s):  
N.K Govil ◽  
Griffith Nyuydinkong ◽  
Berhanu Tameru
Keyword(s):  
Polar Derivative ◽  
Derivative Of A Polynomial

scholarly journals A note on the zeros of polar derivative of a polynomial

2020 ◽  
Vol 8 (2) ◽  
pp. 405-413
Author(s):  
Praveen Kumar K. ◽  
Krishna Reddy B.
Keyword(s):  
Polar Derivative ◽  
Derivative Of A Polynomial

scholarly journals Zygmund’s Type Inequality to the Polar Derivative of a Polynomial

2016 ◽  
Vol 5 ◽  
pp. 52-59
Author(s):  
M.S. Pukhta
Keyword(s):  
Type Inequality ◽  
Polar Derivative ◽  
Zygmund’S Inequality ◽  
Derivative Of A Polynomial

In this paper we improve a result recently proved by Irshad et al. [On the Inequalities Concerning to the Polar Derivative of a Polynomial with Restricted Zeroes, Thai Journal of Mathematics, 2014 (Article in Press)] and also extend Zygmund's inequality to the polar derivative of a polynomial.

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