Mixed moduli of smoothness in mixed metrics

DOI10.1134/S0001434612110119zbMath1267.42003MaRDI QIDQ1946430

B. V. Simonov

Publication date: 15 April 2013

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Fourier seriesHölder's inequalitymeasurable functiontrigonometric polynomialmixed modulus of smoothnessWeyl derivativemixed metric

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (2)

Strengthened Ul'yanov's inequality for complete moduli of smoothness of functions from spaces with mixed metrics ⋮ Properties of mixed moduli of smoothness of functions with lacunary Fourier coefficients

Cites Work

• Sharp Ul'yanov-type inequalities using fractional smoothness
• On the interrelation of the generalized Besov-Nikols'kiǐ and Weyl-Nikols'kiǐ classes of functions
• Relations between moduli of smoothness in different metrics
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