Geodesic
Interrelations between full moduli of smoothness in the metrics of $L_1$ и $L_\infty$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2016), pp. 16-24

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Interrelation between full moduli of smoothness of natural orders in the metrics $L_1$ and $L_\infty$ is considered in the paper. 
@article{VMUMM_2016_1_a2,
     author = {M. K. Potapov and B. V. Simonov},
     title = {Interrelations between full moduli of smoothness in the metrics of $L_1$ {\cyri} $L_\infty$},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {16--24},
     publisher = {mathdoc},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_1_a2/}
}
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M. K. Potapov; B. V. Simonov. Interrelations between full moduli of smoothness in the metrics of $L_1$ и $L_\infty$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2016), pp. 16-24. http://geodesic.mathdoc.fr/item/VMUMM_2016_1_a2/