Approximation properties of two dimensional Bernstein-Stancu-Chlodowsky operators

Authors

  • 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.

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Published

2013-10-21

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Section

Articoli