  In this article, we consider an accelerated first-order method, namely, the
method of similar triangles, which is optimal in the class of convex (strongly
convex) problems with a gradient. The paper considers a model of additive noise
in a gradient and a Euclidean prox-structure. Convergence estimates are
obtained in the case of strong convexity and its absence, and a stopping
criterion is proposed for not strongly convex problems.
