On the approximation properties of two-dimensional q-Bernstein-Chlodowsky polynomials

نویسندگان

  • İbrahim Büyükyazici
  • I. Büyükyazici
چکیده

In the present paper we introduce positive linear operators q−Bernstein Chlodowsky polynomials on a rectangular domain and obtain their Korovkin type approximation properties. The rate of convergence of this generalization is obtained by means of the modulus of continuity, and also by using the K-functional of Peetre. We obtain weighted approximation properties for these positive linear operators and their generalizations in this paper. AMS subject classifications: 41A10, 41A25, 41A36

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تاریخ انتشار 2009