【摘要】 <正>曾研究D类解析函数在圆周上以多项式带权平均逼近。本文定理1是研究D类解析函数在圆周上以多项式带权平均逼近的阶的估计。 曾研究E_p(1<p<∞)类解析函数在满足一定条件的闭光滑曲线上平均逼近的阶的估计。本文定理3是研究E_p(1≤p<∞)类解析函数在可求长闭曲线上平均逼近的阶的估计。更多还原

【Abstract】 Γ. Ⅱ,. TyMapKHH[1] established the weighted mean approximation by polynomials to functions of class D on a circle |z| =1. Here we have estimated the degree of weighted mean approximation.C. R. AJIBJIep[2] established the estimation of the degree of mean approximation to functions of class EP (l<P<∞) on a smooth curve under a certain condition. Here we estimate the degree of mean approximation to functions of class Ep(1≤p <∞ on a rectifiable curve.更多还原