Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2009), pp. 17-25
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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/
@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 -
%0 Journal Article
%A M. K. Potapov
%A B. V. Simonov
%A S. Yu. Tikhonov
%T Relations between moduli of smoothness in different metrics
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2009
%P 17-25
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_2009_3_a3/
%G ru
%F VMUMM_2009_3_a3
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.