Nikiforova, Tatiana Minimax and maximin problems for sums of translates on the real axis. arXiv:2405.08561 Preprint, arXiv:2405.08561 [math.CA] (2024). Summary: 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. MSC: 26A51 Convexity of real functions in one variable, generalizations 26D07 Inequalities involving other types of functions 49K35 Optimality conditions for minimax problems × Cite Format Result Cite Full Text: arXiv arXiv data are taken from the arXiv OAI-PMH API. If you found a mistake, please report it directly to arXiv.