Bivariate Bernstein type operators


Bascanbaz-Tunca G., İNCE İLARSLAN H. G. , ERENÇİN A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.273, ss.543-552, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 273
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.amc.2015.10.037
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.543-552

Özet

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 tau-convex. (C) 2015 Elsevier Inc. All rights reserved.