摘要
本文对一种以广义二项分布的概率密度函数作为基函数构造的广义Bezier型算子性质进行研究,得到了这类算子在单调性、凸性、星形性、半可加性和光滑性等方面的保形性质。最后,通过具体数值实例验证新方法的有效性及灵活性。
In this paper, we study the properties of a kind of Bezier type operators constructed with the probability density function of a generalized binomial distribution as the basis functions, and obtain the shape preserving properties of this kind of operator concerning monotonicity, convexity, starlikeness, semi-additivity, and smoothness. Finally, through specific numerical examples, we verify the effectiveness and flexibility of the new method.
出处
《理论数学》
2023年第9期2587-2595,共9页
Pure Mathematics
