研究了定义在α阶Lipschitz函数类上的单点值算子f(t0),积分算子Int(f)利用噪声信息来实现最优恢复的问题,得到了信息半径的上,下界的估计以及最优的算法(或近似算法).
Optimal recovering problem of single-valued operator f(t0), integral operator Int(f) defined on Lipschitz functions of α order is studied. Noise information was used to obtain estimates to upper and lower bounds on information radius, optimal algorithm (or approximation algorithm) was also obtained.