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N. K. Govil, Some inequalities for derivatives of polynomials, J. Approx. Theory, 66 (1) (1991), 29-35.

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Article

Inequalities for the Sth Derivative of Polynomials Not Vanishing inside A Circle

1Govt. Department of Education Jammu and Kashmir, India


American Journal of Mathematical Analysis. 2015, Vol. 3 No. 1, 1-4
DOI: 10.12691/ajma-3-1-1
Copyright © 2015 Science and Education Publishing

Cite this paper:
GULSHAN SINGH. Inequalities for the Sth Derivative of Polynomials Not Vanishing inside A Circle. American Journal of Mathematical Analysis. 2015; 3(1):1-4. doi: 10.12691/ajma-3-1-1.

Correspondence to: GULSHAN  SINGH, Govt. Department of Education Jammu and Kashmir, India. Email: gulshansingh1@rediffmail.com

Abstract

Let P(z) be a polynomial of degree n having all its zeros in , then for , Bidkham and Dewan [J. Math. Anal. Appl. 166(1992), 191-193] proved max In this paper, we prove an interesting generalization as well as an improvement of this result by considering the sth derivative of lacunary type of polynomials P(z) of degree n > 3.

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