  Sums of translates generalize logarithms of weighted algebraic polynomials.
The paper presents the solution to the minimax and maximin problems on the real
axis for sums of translates. We prove that there is a unique function that is
extremal in both problems. The key in our proof is a reduction to the problem
on a segment. For this, we work out an analogue of the Mhaskar-Rakhmanov-Saff
theorem, too.
