Markov-type estimates for certain classes of constrained polynomials Academic Article uri icon

abstract

  • Establishing Markov-type inequalities for the derivatives of polynomials with restricted zeros was initiated by P. Erdös [3] in 1940. Since then several authors proved similar estimates for the derivatives of polynomials of special type. In this paper we work on [-1, 1] and obtain Markov-type estimates for the derivatives of polynomials from a rather wide family of classes of constrained polynomials. In some cases the results turn out to be sharp. © 1989 Springer-Verlag New York Inc.

author list (cited authors)

  • Erdèlyi, T.

citation count

  • 5

publication date

  • December 1989