Approximation properties of two dimensional Bernstein-Stancu-Chlodowsky operators

  • Tuncer Acar
  • Ali Aral
Keywords: Bivariate Bernstein Stancu type operators, Shape preserving properties, Weighted approximation, Triangle domain with mobile boundaries

Abstract

In this paper, as a generalization of Bernstein-Stancu type operators of two variable, we introduce a new positive linear operator called Bernstein-Stancu-Chlodowsky on a triangular domain, with mobile boundaries, which extends to [0, ∞) × [0, ∞) as n → ∞. We give some shape properties that are preserved and also obtain weighted approximation properties of these operators.

Published
2013-10-21
Section
Articoli