Geodesic
On the exactness of certain inequalities in approximation theory
Matematičeskie zametki, Tome 10 (1971) no. 5, pp. 571-582.

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We prove the following: for every sequence $\{F_\nu\}$, $F_\nu\downarrow0$, $F_\nu>0$ there exists a function $\begin{array}{l} 1)~E_n(f)\leqslant F_n\quad(n=0,1,2,\dots) \text{ и }\\ 2)~A_kn^{-k}\sum_{\nu=1}^n\nu^{k-1}F_{\nu-1}\leqslant\omega_k(f,n^{-1})\quad(n=1,2,\dots). \end{array}$ 
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     author = {V. \`E. Gheit},
     title = {On the exactness of certain inequalities in approximation theory},
     journal = {Matemati\v{c}eskie zametki},
     pages = {571--582},
     publisher = {mathdoc},
     volume = {10},
     number = {5},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_5_a12/}
}
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V. È. Gheit. On the exactness of certain inequalities in approximation theory. Matematičeskie zametki, Tome 10 (1971) no. 5, pp. 571-582. http://geodesic.mathdoc.fr/item/MZM_1971_10_5_a12/