【摘要】 <正>目前已有很多工作研究多项式在空间E~P(D)(p≥1)中的完备性问题及最佳逼近阶的估计。 1959年J.L.Walsh和H.G.Russell在[1]中讨论了当p≥1时区域D的边界是解析曲线的情况。 1960年在[2]中将上面结果在p>1时推广到区域D的边界Γ满足条件更多还原

【Abstract】 In this paper we obtain some estimations of the degree of the best approximation in E1 space of functions by polynomials and rational functions with preas-signed poles, in which D is an AJIBIInep region, its boundary p satisfies the conditionwhere j(u) is the continuous modulus of the angle between the tangent of Γ and the positive real axis as the function of the arc length of Γ.更多还原