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 $C.$
@article{VMUMM_2015_1_a1,
author = {M. K. Potapov and B. V. Simonov},
title = {Connection between moduli of smoothness in the metrics of $L_p$ and $C$},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {8--15},
publisher = {mathdoc},
number = {1},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a1/}
}
TY - JOUR AU - M. K. Potapov AU - B. V. Simonov TI - Connection between moduli of smoothness in the metrics of $L_p$ and $C$ JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2015 SP - 8 EP - 15 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a1/ LA - ru ID - VMUMM_2015_1_a1 ER -
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/