This article is cited in 1 paper

Mathematics

Improvement of the Ul'yanov inequality for mixed moduli of smoothness for functions with lacunary Fourier coefficients

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: An inequality for the mixed moduli of smoothness for functions with lacunary Fourier coefficients improving the known Ul'yanov's inequality for moduli of smoothness is obtained in the paper.

Key words: mixed module of smoothness, lacunary Fourier coefficients, Ul'yanov's inequality.

UDC: 517.5

Received: 13.12.2010

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2012, 67:1, 16–22

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