APPROXIMATION PROPERTIES OF TWO-DIMENSIONAL q-BERNSTEIN-CHLODOWSKY-DURRMEYER OPERATORS

BÜYÜKYAZICI İ., Sharma H.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.33, sa.12, ss.1351-1371, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 12
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1080/01630563.2012.674594
  • Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1351-1371
  • Anahtar Kelimeler: Modulus of continuity, Peetre K-functional, q-Durrmeyer operators, Rate of convergence, Two-dimensional q-Chlodowsky polynomials, Weighted approximation, CONVERGENCE
  • Ankara Üniversitesi Adresli: Evet

Özet

This article deals with the Durrmeyer-type generalization of the q-Bernstein-Chlodowsky operators on a rectangular domain (which were introduced by Buyukyazici [2]). We obtain the Korovkin-type approximation properties and the rates of convergence of this generalization using the means of the modulus of continuity and using the K-functional of Peetre. Further, we establish the weighted approximation properties for these operators.