Integral estimates for a class Bn of operators

Shah Lubna Wali, Abdul Liman


Let $\mathcal{P}_{n}$ be the class of polynomials of degree at most $n$. Rahman introduced a class $\mathcal {B}_{n}$ of operators $\mathcal{B}$ that map $\mathcal {P}_{n}$ into itself.  In this paper, we establish certain integral estimates concerning $\mathcal{B}$-operator, and thereby obtain generalizations as well as improvements  of some well known  inequalities for polynomials.


Lp norm, inequalities, B-operator, Polynomials, Inequalities

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