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Saturation in multivariate simultaneous approximation

Author

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  • Cárdenas-Morales, D.
  • Fraguela, A.
  • Garrancho, P.

Abstract

In this paper we present a new result on the saturation of sequences of linear operators in a multivariate and simultaneous setting. Specifically, a small o saturation result is obtained for the partial derivatives of the classical Bernstein bivariate operators on the unit simplex. Solutions of boundary value problems for certain partial differential equations of elliptic type play an important role.

Suggested Citation

  • Cárdenas-Morales, D. & Fraguela, A. & Garrancho, P., 2011. "Saturation in multivariate simultaneous approximation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(10), pages 2098-2102.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:10:p:2098-2102
    DOI: 10.1016/j.matcom.2010.12.013
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    Cited by:

    1. Başcanbaz-Tunca, Gülen & İnce-İlarslan, Hatice Gül & Erençin, Ayşegül, 2016. "Bivariate Bernstein type operators," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 543-552.

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