STATISTICAL APPROXIMATION BY MEANS OF OPERATORS CONSTRUCTED BY q-LAGRANGE POLYNOMIALS

Erkus-Duman E.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, cilt.14, sa.1, ss.67-77, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2012
  • Dergi Adı: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.67-77
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, using q-Lagrange polynomials, a sequence of positive linear operators are constructed. Approximation properties of these q-type operators are established via A-statistical convergence. Furthermore, we compute rates of A-statistical convergence by means of modulus of continuity, the elements of the Lipschitz class, Peetre's K-functional and the Lipschitz type maximal function, respectively. This statistical approximation process enables us more powerful results than the classical aspects.