S. Hans

collaborators

3 papers

math.CV2025

Generalizations of Some Inequalities of the Polar Derivatives of Polynomials

Deepak Kumar, Dinesh Tripathi, Sunil Hans

The main purpose of this paper is to present the generalization of the inequalities between the modulus of the polar derivative and the polynomial itself, depending on consideratio…

math.CV2025

Some Compact Generalization of Bernstein-Type Inequalities Preserved by Modified Smirnov Operator

Deepak Kumar, D. Tripathi, Sunil Hans

Let $P (z)$ be a polynomial of degree $n$ . In $2004$ , Aziz and Rather \cite{aziz2004some} investigated the dependence of \[\bigg|P(Rz)-Î±P(z)+Î²\biggl\{\biggl(\frac{R+1}{2}\biggr)^n…

math.CV2025

Generalization of Some Well-Known Polynomial Inequalities for the Modified Smirnov Operator

Deepak Kumar, Dinesh Tripathi, Sunil Hans

Let $P (z)$ be a polynomial of degree $n$ . In this paper, we consider the modified Smirnov operator, which carries a polynomial $P (z)$ into $\tilde{\mathbb{S}}_a[P](z)=(1+az)P'(z)-n…