Zygmund’s Type Inequality to the Polar Derivative of a Polynomial

Author:

Pukhta M.S.1

Affiliation:

1. SKUAST-Kashmir

Abstract

In this paper we improve a result recently proved by Irshad et al. [On the Inequalities Concerning to the Polar Derivative of a Polynomial with Restricted Zeroes, Thai Journal of Mathematics, 2014 (Article in Press)] and also extend Zygmund's inequality to the polar derivative of a polynomial.

Publisher

SciPress Ltd

Subject

General Medicine

Reference8 articles.

1. S. Bernstein, Lecons sur Less propries extréxtremaleset la meilleure dune fonctions, (Paris, 1926).

2. A. Zygmund, A remark on conjugate series, Proc. London Math. Soc. 34(2) (1932), 392-400.

3. A. Aziz and W.M. Shah, Inequalities for the polar derivaive of a polynomial, Indian J. Pure Appl. Math., 29 (1998), 163-173.

4. A. Aziz and N.A. Rather, Some Zygmunds type Lp-inequlaity for polynomial, J. Math. Anal. Appl., 289 (2004), 14-29.

5. N.G. De-Bruijin, Inequalitis concerning polynomials in the complex domain, Nedrel. Akad. Weternsch. Proc. Ser. A., 50 (1947), 1265-1272; Indag. Math., 9 (1947), 591-598.

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