We determine the lower bound for possible values of Spearman's rho of a bivariate copula given that the value of its Spearman's footrule is known and show that this bound is always attained. We also give an estimate for the exact upper bound and prove that the estimate is attained for some but not all values of Spearman's footrule. Nevertheless, we show that the estimate is quite tight.

翻译：我们决定了Spearman的双倍交响乐可能值的下限值, 因为它的Spearman的脚势值是已知的, 并表明这个约束总是达到的。 我们还给出了准确的上限值的估计值, 并证明Spearman脚势的某些值, 但不是全部值都达到了这一估计值。 然而, 我们表明这个估计值相当紧凑 。