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Necessary and sufficient conditions on the system of positive numbers $M_{k_1}, M_{k_2}, M_{k_3}, M_{k_4}$, $0= k_1<k_2<k_3=r-2$, $k_4 = r$, whichguarantee the existence of a function $x\in L_{\infty,\infty}^r(R)$, such that$\|x^{(k_i)}\|_{\infty}=M_{k_i},\; i=1,2,3,4, $ are found.

On dependence between the norm of a function and norms of its derivatives of orders k, r - 2 and r, 0 < k < r - 2