Interrelations between mixed moduli of smoothness in metrics of \(L_p\) and \(L_\infty\)

DOI10.3103/S0027132217030044zbMath1384.46029OpenAlexW2732553468MaRDI QIDQ2403572

B. V. Simonov, Mikhail K. Potapov

Publication date: 8 September 2017

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

Full work available at URL: https://doi.org/10.3103/s0027132217030044

zbMATH Keywords

fractional moduli of smoothness

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Fourier series and coefficients in several variables (42B05)

Related Items (max. 100)

Refinement of relations between mixed moduli of smoothness in the metrics of \(L_p\) and \(L_\infty \)

Cites Work

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• Connection between moduli of smoothness in the metrics of \(L_p\) and \(C\)
• Sharp Ul'yanov-type inequalities using fractional smoothness
• On relations between moduli of continuity in different metrics
• Ul'yanov and Nikol'skii-type inequalities
• Inequalities for moduli of smoothness versus embeddings of function spaces
• An inequality of P. L. Ul’yanov
• Embedding theorems in constructive approximation
• Mixed Moduli of Smoothness in $L_p$, $1<p<\infty$
• IMBEDDING THEOREMS AND RELATIONS BETWEEN BEST APPROXIMATIONS (MODULI OF CONTINUITY) IN DIFFERENT METRICS

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