This article is cited in 5 papers

Differential inequalities for algebraic polynomials

A. V. Olesov

Institute of Applied Mathematics of the Far East Division of the Russian Academy of Sciences, Vladivostok, Russia

Abstract: We sharpen and supplement the results by V. I. Smirnov, A. Aziz, and Q. M. Dawood for algebraic polynomials which generalize the classical Bernstein and Erdős–Lax inequalities.

Keywords: polynomial, differential inequality, constraints on zeros.

UDC: 517.535

Received: 08.12.2008
Revised: 21.08.2009

 English version: Siberian Mathematical Journal, 2010, 51:4, 706–711

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