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Bivariate Bernstein type operators

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Listed:
  • Başcanbaz-Tunca, Gülen
  • İnce-İlarslan, Hatice Gül
  • Erençin, Ayşegül

Abstract

In this paper, we introduce bivariate extension of Bernstein type operators defined in [11]. We show that these operators preserve some properties of the original function f, such as Lipschitz constant and monotonicity. Furthermore, we present the monotonicity of the sequence of bivariate Bernstein type operators for n when f is τ-convex.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:543-552
    DOI: 10.1016/j.amc.2015.10.037
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    References listed on IDEAS

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    1. 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.
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