Let be a polynomial of degree at most We consider an operator which carries a polynomial into
where and are such that all the zeros of
lie in the half plane
In this paper, we estimate the minimum and maximum modulii of on with restrictions on the zeros of and thereby obtain compact generalizations of some well known polynomial inequalities.
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be a polynomial of degree at most 
We consider an operator 
which carries a polynomial ![$displaystyle B left [P(z) right ] := lambda_0 P(z) + lambda_1 left (frac... ...!} + lambda_2 left (frac{nz}{2} right )^2 frac{P^{prime prime}(z)}{2!} ,$](images/235_07_JIPAM/img4.gif)
and 
are such that all the zeros of 
![$ B [P(z)]$](images/235_07_JIPAM/img10.gif){kind=small}
on 
with restrictions on the zeros of 
