The principle of invariance in the Strassen form to the partial sum processes of moving averages of finite order

We consider the process of partial sums of moving averages of finite order with a regular varying memory function, constructed from a stationary sequence having the structure of a two-sided moving average. We study the Gaussian approximation of this process of partial sums with the aid of a certain class of Gaussian processes, and obtain estimates of the rate of convergence in the invariance principle in the Strassen form.