This article is cited in 5 papers

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

T. Bagramyan

Peoples Friendship University of Russia, Moscow, Russia

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.

Key words: optimal recovery, harmonic function, computerized tomography.

UDC: 517.51

Received: 05.07.2011