Bivariate Bernstein type operators
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摘要
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.
论文关键词：Lipschitz continuous function,Monotony,Bernstein type operator
论文评审过程：Received 8 July 2015, Revised 5 October 2015, Accepted 11 October 2015, Available online 12 November 2015, Version of Record 12 November 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.10.037
