奇异积分算子对p幂可积函数的逼近常数的上界估计

The Estimation of the Upper Bound of the Constants of Approximation Of some Singular Integral Operators for f ∈L_(2π)~p

本文探讨由正偶核确定的奇异积分算子对连续函数的逼近常数与对p幂可积函数的逼近常数之间的关系,并由此得到Fejér算子、Jackson算子和Vallee-Poussin算子对p幂可积函数逼近常数的上界。

In this pater we discuss and give the estimation of the upper bound of the constants of the approximation of the singular integral operators, shch as Fejér,Jackson and Vallee-Poussin operators, for the function belonging to L_(2π)~p.