This article is cited in 3 papers

Mathematics

Connection between moduli of smoothness in the metrics of $L_p$ and $C$

M. K. Potapov^a, B. V. Simonov<sup>b

a</sup> Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Volgograd State Technical University

Abstract: 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.

UDC: 517.5

Received: 04.02.2013

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2015, 70:1, 6–13

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