Connection between moduli of smoothness in the metrics of $L_p$ and $C$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 8-15

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Two inequalities are proved for fractional moduli of smoothness of a function considered in the spaces $L_p$ and $C.$
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M. K. Potapov; B. V. Simonov. Connection between moduli of smoothness in the metrics of $L_p$ and $C$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 8-15. http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a1/