For a polynomial P(z) of degree n, Kumar [22] refined a Turán-type inequality originally established by Aziz and Rather [3] concerning the more general concept of polar derivative of the polynomial. In this paper, we first present an enhancement of the inequality of Kumar [22]. Furthermore, we establish an improved result that builds upon the work of Govil and McTume [20] and also derive a Bernstein-type inequality for a particular class of polynomials whose zeros lie outside the disk \(|z| \ge k\) , where \(k \le 1\) , by imposing certain restriction on the moduli of the derivatives of the polynomial and its reciprocal polynomial.
