Bernstein-type operators on triangles

Authors

  • Petru Blaga Babeş-Bolyai University, Cluj-Napoca, Romania
  • Gheorghe Coman Babeş-Bolyai University, Cluj-Napoca, Romania

DOI:

https://doi.org/10.33993/jnaat381-898

Keywords:

Bernstein operator, product operator, Boolean sum operator, modulus of continuity, error evaluation
Abstract views: 260

Abstract

The aim of the paper is to construct some univariate Bernstein-type operators on triangle, their product and Boolean sum, which interpolate a given function on the edges respectively at the vertices of triangle. Using the modulus of continuity and the Peano's theorem the remainders of corresponding approximation formulas are studied.

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Published

2009-02-01

How to Cite

Blaga, P., & Coman, G. (2009). Bernstein-type operators on triangles. Rev. Anal. Numér. Théor. Approx., 38(1), 9–21. https://doi.org/10.33993/jnaat381-898

Issue

Vol. 38 No. 1 (2009)

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