Two polynomial division inequalities in <inline-formula><graphic file="1029-242X-1998-101684-i1.gif"/></inline-formula>

Abstract

This paper is a first attempt to give numerical values for constants and , in classical estimates and where is an algebraic polynomial of degree at most and denotes the -metric on . The basic tools are Markov and Bernstein inequalities.

Keywords

• Polynomial inequalities
• Schur inequality
• Explicit constants