Bivariate Bernstein type operators

Gülen Başcanbaz-Tunca, Hatice Gül İnce-İlarslan and Ayşegül Erençin

Applied Mathematics and Computation, 2016, vol. 273, issue C, 543-552

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.

Keywords: Lipschitz continuous function; Monotony; Bernstein type operator (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:543-552

DOI: 10.1016/j.amc.2015.10.037

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