• Title of article

    Approximation by certain linear operators preserving x^2

  • Author/Authors

    Rempulska, Lucyna Poznan University of Technology - Institute of Mathematics, POLAND , Tomczak, Karolina Poznan University of Technology - Institute of Mathematics, POLAND

  • From page
    273
  • To page
    281
  • Abstract
    We investigate certain positive linear operators Ln preserving the functions ek(x) = x^k , k = 0, 1, and modified operators L ∗ n which preserve e0 and e2 . We show that the error of approximation of f by L ∗ n(f) is smaller than for Ln(f).
  • Keywords
    Positive linear operator , polynomial weighted space , degree of approximation
  • Journal title
    Turkish Journal of Mathematics
  • Journal title
    Turkish Journal of Mathematics
  • Record number

    2530852