D. Tripathi

collaborators

2 papers

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…