On the Bezier variant of generalized Kantorovich type Balazs operators


Gupta V., Ispir N.

APPLIED MATHEMATICS LETTERS, vol.18, no.9, pp.1053-1061, 2005 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 9
  • Publication Date: 2005
  • Doi Number: 10.1016/j.aml.2004.11.002
  • Journal Name: APPLIED MATHEMATICS LETTERS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.1053-1061
  • Keywords: Balazs operators, rate of convergence, bounded variation, total variation, Bezier basis, BOUNDED VARIATION, RATIONAL FUNCTIONS, CONVERGENCE, APPROXIMATION

Abstract

In the present work we define the Bezier variant of the generalized Balazs-Kantorovich operators. The special cases of our operators reduce to some well known operators. We establish the rate of convergence for functions of bounded variation for the generalized operators. (c) 2005 Elsevier Ltd. All rights reserved.