Original scientific paper

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

İbrahim Büyükyazici ; epartment of Mathematics, Arts and Science Faculty, Gazi University,Ankara-06 500, Turkey

Abstract

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.

Keywords

q-Chlodowsky polynomials; rate of convergence; weighted approximation; modulus of continuity; Peetre-K functional

Hrčak ID:

44006

URI

https://hrcak.srce.hr/44006

Publication date:

9.12.2009.

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