WEIGHTED MARKOV AND BERNSTEIN TYPE INEQUALITIES FOR GENERALIZED NONNEGATIVE 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.

published proceedings

  • JOURNAL OF APPROXIMATION THEORY

author list (cited authors)

  • ERDELYI, T.

citation count

  • 4

complete list of authors

  • ERDELYI, T

publication date

  • March 1992