• Title of article

    On the approximation by Chlodowsky type generalization of (p; q)-Bernstein operators

  • Author/Authors

    Ansari, Khursheed J Department of Mathematics - College of Science - King Khalid University - Abha, Saudi Arabia , Karaisa, Ali Department of Mathematics-Computer Sciences - Faculty of Sciences - Necmettin Erbakan University Meram Campus - Konya, Turkey

  • Pages
    20
  • From page
    181
  • To page
    200
  • Abstract
    In the present article, we introduce Chlodowsky variant of (p; q)-Bernstein operators and compute the moments for these operators which are used in proving our main results. Further, we study some approximation properties of these new operators, which include the rate of convergence using usual modulus of continuity and also the rate of convergence when the function f belongs to the class LipM(α). Moreover, we also discuss convergence and rate of approximation in weighted spaces and weighted statistical approximation properties of the sequence of positive linear operators defined by us.
  • Keywords
    (p; q)-integers , Bernstein operators , positive linear operators , Korovkin type approximation theorem , statistical approximation
  • Journal title
    Astroparticle Physics
  • Serial Year
    2017
  • Record number

    2442326