Estimates of deviations from exact solutions of variational problems with linear growth functionals

In this paper, we derive estimates of deviations from exact solutions of variational problems with linear growth functionals. Since original variational problem may have no minimizer in a reflexive Banach space, the estimates are presented in terms of the dual problem. We prove the consistency of these estimates and obtain their computationally convenient forms. Bibl. – 36 titles.