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

DOI10.3103/S0027132212010032zbMath1271.42011OpenAlexW2042922648MaRDI QIDQ355302

B. V. Simonov, Mikhail K. Potapov

Publication date: 24 July 2013

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132212010032

zbMATH Keywords

modulus of smoothnesslacunary series

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Related Items (1)

Properties of mixed moduli of smoothness of functions with lacunary Fourier coefficients

Cites Work

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• Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes
• On relations between moduli of continuity in different metrics

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