Inequalities for the Derivative of a Polynomial

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Inequalities for the Derivative of a Polynomial

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Title: Inequalities for the Derivative of a Polynomial
Author: Dar, Bilal Ahmad (Scholar); Mir, M.A. (Guide)
Abstract: Inequalities of Bernstein and Markov have been the starting point of a considerable literature in approximation theory and our research shall be centered on these inequalities. The problems of obtaining exact new bounds, the improvements and generalizations of some older results for the maximum of P'(z) over a unit disk are still of considerable interest. In view of this fact and that of many as yet unsettled questions this subject continues in an active field of research. The aim of this dissertation is to present a survey of certain results concerning the bounds for the maximum modulus of the derivative of an th n degree polynomial over a disk with or without the restriction on the zeros of the polynomial.
URI: http://dspaces.uok.edu.in/jspui//handle/1/1203
Date: 2012


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