Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228220171201On the approximation by Chlodowsky type generalization of (p,q)-Bernstein operators181200278910.22075/ijnaa.2017.1827.1479ENKhursheed J.AnsariDepartment of Mathematics, College of Science, King Khalid University, 61413,
Abha, Saudi ArabiaAli KaraisaDepartment of Mathematics-Computer Sciences, Faculty of Sciences, Necmettin
Erbakan University Meram Campus, 42090 Meran, Konya, TurkeyJournal Article20161227In 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 Lip$_{M}(alpha )$. 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.http://ijnaa.semnan.ac.ir/article_2789_8c00a08033e702b77e6d822b3272f202.pdf