## Extensions of Bernstein Type Inequalities of a Polynomial to Polar Derivative

*Let p *(*z*) *be a polynomial of degree n and *a *be any real or complex number, the polar derivative of p*(*z*) *,*

*denoted by D p*(*z*) a *, is defined as*

*D*a *p*(*z*) = *np*(*z*)+ (a – *z*)*p*ยข(*z*)*.*

*In this Chapter, we discuss the simple and short proofs of the Bernstein type inequalities on polar derivative of a*

*polynomial obtained by Dewan and Singh *[*J. of Combinatorics, Information & System Sciences, *31(2006)(1-4),

317-324*.*] *compared to related existing results and further worthy implications of the techniques involved.*

**Author (s) Details **

**Barchand Chanam**

Department of Mathematics, National Institute of Technology, Manipur, India.

**View Book** :-https://bp.bookpi.org/index.php/bpi/catalog/book/237

maximum modulus. polar derivative of a polynomial polynomial