Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
q-Chlodowsky polynomials; rate of convergence; weighted approximation; modulus of continuity; Peetre-K functional
Hrčak ID:
44006
URI
Datum izdavanja:
9.12.2009.
Posjeta: 1.814 *