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二维广义Bernstein多项式
A Two-dimensional Generalization of the Bernstein Polynomials
【摘要】 给出二维广义的 Bernstein 多项式的定义,并研究该多项式一致收敛的充分必要条件,用连续模估计该多项式对连续函数的逼近误差.
【Abstract】 This paper gives the definition of two-dimensional generalization of the Bemstein Polynomials.We find a sufficient and necessary condition for uniform convergence by the polynomials.By using the modulus of continuity,we estimate the error of approximation for the polynomials to the continuous function.
- 【文献出处】 绍兴文理学院学报(自然科学版) ,Journal of Shaoxing University(Natural Science) , 编辑部邮箱 ,2004年03期
- 【分类号】O174.14
- 【被引频次】1
- 【下载频次】30