Abstract
Let v z be a polynomial of degree m having no zero zero in z r ,r 1 , then for 1 T r , Dewan and Bidkham [J. Math. Anal. Appl., vol. 166, pp. 319-324, 1992] proved The result is best possible and extremal polynomial is In this paper, we extend the above inequality for higher derivatives of p z , which not only improves as well as generalizes tthis result, but also has interesting implications to earlier known inequalities.
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