Connection between moduli of smoothness in the metrics L_p and C / M. K. Potapov, B. V. Simonov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 1. P. 8-15 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 6-13].

Two inequalities are proved for fractional moduli of smoothness of a function considered in the spaces L_p and C.

Key words: inequalitiy, space, fractional modulus of smoothness.

№ 1/2015