Bernstein Type Inequalities for Polar Derivative of Polynomial
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Abstract
If is a polynomial of degree n such that in , , then Govil [ Proc. Nat. Acad. Sci., Vol. 50, pp. 50-52, 1980. ] proved
provided and attain their maxima at the same point on the circle , where .
Equality in the above inequality holds for.
In this paper, we extend the above inequality and an improved version of this into polar derivative of a polynomial.
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