Convergence rate of a new Bezier variant of Chlodowsky operators to bounded variation functions

Karsli H., Ibikli E.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol.212, no.2, pp.431-443, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 212 Issue: 2
  • Publication Date: 2008
  • Doi Number: 10.1016/j.cam.2006.12.020
  • Journal Name: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.431-443
  • Keywords: approximation, bounded variation, Chlodowsky polynomials, Bezier basis, total variation, rate of convergence
  • Ankara University Affiliated: Yes

Abstract

In the present paper, we estimate the rate of pointwise convergence of the Bezier Variant of Chlodowsky operators C-n,C-alpha for functions, defined on the interval extending infinity, of bounded variation. To prove our main result, we have used some methods and techniques of probability theory. (C) 2007 Elsevier B.V. All rights reserved.