## Contacts

362027, RNO-A, Russia
Phone: (8672)50-18-06
E-mail: rio@smath.ru

DOI: 10.23671/VNC.2012.14.10951

# Optimal recovery of a harmonic function from inaccurate information on the values of the radial integration operator

Bagramyan T.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 1.
Abstract:
We consider the problem of optimal recovery of a harmonic function in the unit ball from the inaccurate values of the radial integration operator. Information on the values of the operator is given as a function that differs from the exact values in the mean-square metric not more than a fixed error, either in the form of a finite set of Fourier coefficients calculated with a fixed error in the mean square or uniform metric.
Keywords: optimal recovery, harmonic function, computerized tomography