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We generalise the classical Bernstein's inequality: 
. Moreover we obtain a new representation formula for entire functions of exponential type.
Let 
be the class of all polynomials/? of degree at most n such that 
In view of the example zn it follows from Bernstein's inequality for polynomials that 
at each point z0 of the unitcirle. It was shown by A. Giroux and Q. I. Rahman [2] that if 
denotes the subclass of polynomials in which vanish at 1, then
where c1 and c2 are constants not depending on n. Here we find the exact value of 
which has some special significance and also at certain other points of the unit circle.
