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

DOI10.3103/S0027132214010021zbMath1333.42006MaRDI QIDQ263310

B. V. Simonov, Mikhail K. Potapov

Publication date: 4 April 2016

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

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier series and coefficients in several variables (42B05)

Related Items

Kolyada inequality for partial moduli of smoothness of functions with lacunary Fourier coefficients

Cites Work

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• Improvement of the Ul'yanov inequality for mixed moduli of smoothness for functions with lacunary Fourier coefficients
• Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes
• Relation between moduli of smoothness and partial sums of Fourier series and embedding theorems for Nikol'skii classes
• Mixed moduli of smoothness in mixed metrics
• Mixed Moduli of Smoothness in $L_p$, $1<p<\infty$