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

Buyukyazici I.

MATHEMATICAL COMMUNICATIONS, cilt.14, sa.2, ss.255-269, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2009
  • Dergi Adı: MATHEMATICAL COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.255-269
  • Gazi Üniversitesi Adresli: Hayır

Özet

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.