Reconstruction of Hp -Functions: Best Approximation, Regularization and Optimal Error Estimates
https://doi.org/10.1080/0278107042000220267Publisher, magazine: ,
Publication year: 2004
Lưu Trích dẫn Chia sẻAbstract
Let U be the open unit disc of the complex plane. We explicitly construct the best pointwise approximation for determining a function in the Hardy space H p (U) from measured data at a countable set of points in U whenever the data is exact. A regularization scheme is given to deal with the case of nonexact data. Moreover, optimal error estimates are also studied.
Tags: Hardy space, Ill-posed problem, Best pointwise approximation, Regularization, Optimal error estimate, Blaschke condition