Mathematics and Statistics Vol. 1(1), pp. 15 - 18
DOI: 10.13189/ms.2013.010104
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Inequalities for the sth Derivative of A Polynomial with Prescribed Zeros

M.S. Pukhta^*
Division of Agri. Statistics, Sher-e-Kashmir University of Agricultural Sciences and Technology of Kashmir, 191121, India

ABSTRACT

Let p(z) be a polynomial of degree n which does not vanish in , k≧1, then for 1≦R≦k Bidkham and Dewan [J. Math. Anal. Appl. 166 (1992),191-193] proved In this paper we shall present several intersting generalizations and a re nement of this result which includes some results due to Malik, Govil and others. We also present a re nement of some other results.

KEYWORDS
Derivative of a polynomial, Zeros, Inequalities

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] M.S. Pukhta , "Inequalities for the sth Derivative of A Polynomial with Prescribed Zeros," Mathematics and Statistics, Vol. 1, No. 1, pp. 15 - 18, 2013. DOI: 10.13189/ms.2013.010104.

(b). APA Format:
M.S. Pukhta (2013). Inequalities for the sth Derivative of A Polynomial with Prescribed Zeros. Mathematics and Statistics, 1(1), 15 - 18. DOI: 10.13189/ms.2013.010104.