Optimal Recovery of Functions of the Class <i>H_p,p</i> (1≤ <i>p ≤ ∞) </i>in the Unit Circle

Abstract

In the below work the problem of optimal recovery of functions in Hardy class is covered. Namely, by the values ​​of these functions in a finite number of points lying in the unit circle determined their value at a given point. Coefficients of the linear best approximation method and error of the best method are calculated. The functions are considered with some given weight function.