双调和Abel-Poisson算子对Hlder函数类的逼近

On the Approximation of Functions of the Hlder Class by Biharmonic Abel-Poisson Integral

建立了双调和Abel-Poisson算子对Hlder函数类的逼近度的渐进等式,解决了双调和Abel-Poisson算子和Hlder函数类的Kolmogorov-Nikol’skii问题.

This paper establishes the asymptotic equality of the upper bound of the deviation of the biharmonic Abel- Poisson integral from functions of the HOlder class, and solves the Kolmogorov-Nikol＇ skii problem of the biharmonic Abel-Poisson integral and the functions of the HOlder class.