On the accuracy of approximation of the binomial distribution by the Poisson law

We derive many new estimates for the proximity of the binomial distribution to the Poisson distribution in the uniform metric and propose a combined approach to estimating the distance in a uniform metric when, for small $n$ and large $p$, the estimation is performed on using a computer and, for the remaining values of $n$ and $p$, the estimates obtained analytically are used.