Estimates of the convergence rate for a dynamical reconstruction algorithm

For an algorithm of dynamical approximation of an unknown input, constructive (the most relevant in respect to practical application) accuracy estimates are obtained. To provide a complete idea of an algorithm's effectiveness, one should give not only an upper estimate of its accuracy, but also a lower estimate. The case when the upper and lower estimates have the same order (with respect to the indicator of observation accuracy) is the most informative. The aim of the paper is to obtain estimates of this kind.