On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line

  • Böttcher A
  • Dörfler P
  • 2

    Readers

    Mendeley users who have this article in their library.
  • 8

    Citations

    Citations of this article.

Abstract

The main topic of the paper is best constants in Markov-type inequalities between the norms of higher derivatives of polynomials and the norms of the polynomials themselves. The norm is the L2 norm with Laguerre weight. The leading term of the asymptotics of the constants is determined and tight bounds for the principal coefficient in this term, which is the operator norm of a Volterra operator, are given. For best constants in inequalities of the Wirtinger type, the limit is computed and an asymptotic formula for the error term is presented. © 2008 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Laguerre weight
  • Markov inequality
  • Toeplitz matrix
  • Volterra operator
  • Wirtinger inequality

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Albrecht Böttcher

  • Peter Dörfler

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free