• NOTE ON A THEOREM OF ANKENY AND RIVLIN
Abstract
If is a polynomial of degree and does not vanish in , then it was shown by Dewan, Hans and Kaur [7] [Journal of Interdisciplinary Mathematics, Vol (13), No 2, (2010), pp. 163-166] that
In this paper ,we obtain a generalization of the above inequality , which in turn also generalize as well as improve the result due to N.C. Ankeny and T. J. Rivlin [1] [ Pacific. J. Math., vol. 5 (1955), pp. 849-852].
In this paper ,we obtain a generalization of the above inequality , which in turn also generalize as well as improve the result due to N.C. Ankeny and T. J. Rivlin [1] [ Pacific. J. Math., vol. 5 (1955), pp. 849-852].
Keywords
Polynomial, Inequality, Derivatives, Zeros.
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