【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.更多还原

【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.更多还原