Integral estimates for  a class Bn of operators

Shah Lubna Wali; Abdul Liman

doi:10.24193/subbmath.2018.2.02

Authors

Shah Lubna Wali
Abdul Liman

DOI:

https://doi.org/10.24193/subbmath.2018.2.02

Keywords:

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

Abstract

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.

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