This article is cited in 2 papers

Mathematics

Properties of mixed moduli of smoothness of 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: Certain properties of the mixed moduli of smoothness of functions with lacunary Fourier coefficients are refined in the case of Lebesgue space with a mixed norm.

Key words: mixed modulus of smoothness, lacunary Fourier coefficients, mixed norm.

UDC: 517.5

Received: 05.03.2012

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2014, 69:1, 5–15

Bibliographic databases:

• 
• 
•