2 papers
math.CV2025
Generalization of Some Well-Known Polynomial Inequalities for the Modified Smirnov Operator
Deepak Kumar, Dinesh Tripathi, Sunil Hans
Let be a polynomial of degree . In this paper, we consider the modified Smirnov operator, which carries a polynomial into $\tilde{\mathbb{S}}_a[P](z)=(1+az)P'(z)-n…
math.CV2024
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…