STATISTICAL APPROXIMATION BY MEANS OF OPERATORS CONSTRUCTED BY q-LAGRANGE POLYNOMIALS
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, vol.14, no.1, pp.67-77, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 14 Issue: 1
- Publication Date: 2012
- Journal Name: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.67-77
- Gazi University Affiliated: Yes
Abstract
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.