摘要
Suppose that either the outer mapping function of a domain D has continuous second derivatives or D is a strictly star domain. In this paper we first establish two inequalities concerning polynomials at Fejer's points with multiplicity (3 + 1). Using these two inequalities, we obtain the order of approximation in Lp(dD), 0<p< +, of f(z) A(D) by its (0,1, ...,q) Hermite-Fejer interpolating polynomials at Fejer's points. The result is sharp in general.
Suppose that either the outer mapping function of a domain D has continuous second derivatives or D is a strictly star domain. In this paper we first establish two inequalities concerning polynomials at Fejer's points with multiplicity (3 + 1). Using these two inequalities, we obtain the order of approximation in Lp(dD), 0<p< +, of f(z) A(D) by its (0,1, ...,q) Hermite-Fejer interpolating polynomials at Fejer's points. The result is sharp in general.
出处
《数学进展》
CSCD
北大核心
1990年第1期93-104,共12页
Advances in Mathematics（China）
基金
Supported by SFNCEC and NSFC
