• Title of article

    image-functionals and multivariate Bernstein polynomials Original Research Article

  • Author/Authors

    Chunmei Ding، نويسنده , , Feilong Cao، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2008
  • Pages
    11
  • From page
    125
  • To page
    135
  • Abstract
    This paper estimates upper and lower bounds for the approximation rates of iterated Boolean sums of multivariate Bernstein polynomials. Both direct and inverse inequalities for the approximation rate are established in terms of a certain KK-functional. From these estimates, one can also determine the class of functions yielding optimal approximations to the iterated Boolean sum
  • Keywords
    * Inverse theorems , * KK-functional , * approximation order , * Multivariate Bernstein polynomials , * Direct theorems , * Boolean sums
  • Journal title
    Journal of Approximation Theory
  • Serial Year
    2008
  • Journal title
    Journal of Approximation Theory
  • Record number

    852610