Weighted Markov and Bernstein type inequalities for generalized non-negative polynomials Academic Article uri icon

abstract

  • Weighted Markov and Bernstein type inequalities are established for generalized non-negative polynomials and generalized polynomial weight functions. The novelty of the results lies in the fact that in these estimates only the generalized degrees of the generalized polynomial and the generalized polynomial weight function, respectively, and a multiplicative absolute constant show up. To prove such inequalities was motivated by studying systems of orthogonal polynomials simultaneously, associated with generalized Jacobi weight functions. © 1992.

author list (cited authors)

  • Erdélyi, T.

citation count

  • 4

publication date

  • March 1992