In this paper certain polynomial inequalities with restricted zeros are given, which generalize and refine some well-known due to Ankeny Rivlin, Dewan, Singh Mir, Wani Hussain others.

In this paper, certain new results concerning the maximum modulus of polar derivative a polynomial with restricted zeros are obtained. These estimates strengthen some well known inequalities for due to Turán, Dubinin and others.

for all polynomials of degree at most n with real coefficients. There is a huge literature about Markov-type inequalities for constrained polynomials. In particular, several essentially sharp improvements are known for various classes of polynomials with restricted zeros. Here we just refer to [1], and the references therein. Let P n be the collection of all polynomials of degree at most n with...