Relations between moduli of smoothness in different metrics
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2009), pp. 17-25
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Two inequalities are proved in the paper. These inequalities extend and refine the well-known P. L. Yl'yanov's inequality concerning relations between moduli of continuity in various metrics.
@article{VMUMM_2009_3_a3,
author = {M. K. Potapov and B. V. Simonov and S. Yu. Tikhonov},
title = {Relations between moduli of smoothness in different metrics},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {17--25},
year = {2009},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2009_3_a3/}
}
TY - JOUR AU - M. K. Potapov AU - B. V. Simonov AU - S. Yu. Tikhonov TI - Relations between moduli of smoothness in different metrics JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2009 SP - 17 EP - 25 IS - 3 UR - http://geodesic.mathdoc.fr/item/VMUMM_2009_3_a3/ LA - ru ID - VMUMM_2009_3_a3 ER -
M. K. Potapov; B. V. Simonov; S. Yu. Tikhonov. Relations between moduli of smoothness in different metrics. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2009), pp. 17-25. http://geodesic.mathdoc.fr/item/VMUMM_2009_3_a3/