Zygmund-type inequalities for an operator preserving inequalities between polynomials

TL;DR

This paper introduces new $L_p$ inequalities for $\

Contribution

It presents novel $L_p$ inequalities for $\\mathcal B_{n}$-operators, unifying and extending existing polynomial inequalities.

Findings

Derived new $L_p$ inequalities for $\\mathcal B_{n}$-operators

Includes known polynomial inequalities as special cases

Provides a broader framework for polynomial inequalities

Abstract

In this paper, we present certain new $L_p$ inequalities for $\mathcal B_{n}$-operators which include some known polynomial inequalities as special cases.