Bernstein Type Inequalities for Polar Derivative of Polynomial

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Barchand Chanam

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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How to Cite

Bernstein Type Inequalities for Polar Derivative of Polynomial. (2021). Turkish Journal of Computer and Mathematics Education (TURCOMAT), 12(2), 3184-3188. https://turcomat.org/index.php/turkbilmat/article/view/2369