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
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