Asymptotic Inequalities Related to the Maximum Modulus of a Polynomial

  • C. Frappier

    École Polytechnique de Montréal, Canada
  • M.A. Qazi

    École Polytechnique de Montréal, Canada

Abstract

Let be the class of all polynomials of degree at most . If denotes the supremum norm on and , then for an arbitrary polynomial in the inequality holds, with equality if and only if . Given with , let be the largest number such that for all . Values of for and are known since some time. We study the case .

Cite this article

C. Frappier, M.A. Qazi, Asymptotic Inequalities Related to the Maximum Modulus of a Polynomial. Z. Anal. Anwend. 15 (1996), no. 3, pp. 747–758

DOI 10.4171/ZAA/726