Analogues of Ulyanov Inequalities for Mixed Moduli of Smoothness

DOI10.1007/978-3-319-27466-9_11zbMath1342.26031OpenAlexW2342909794MaRDI QIDQ2813542

B. V. Simonov, Mikhail K. Potapov

Publication date: 24 June 2016

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-27466-9_11

zbMATH Keywords

Ulyanov inequalitymixed moduli of smoothness

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Continuity and differentiation questions (26B05)

Related Items (3)

Refinement of the relations between mixed smoothness moduli in \(L_1\) and \(L_q\) metrics ⋮ Estimates of partial moduli of smoothness in metrics of \(L_{p_1 \infty }\) and \(L_{ \infty p_2}\) through partial moduli of smoothness in metrics of \(L_{p_1p_2}\) ⋮ Inequalities refining relations between mixed moduli of smoothness in \(L_1\) and \(L_q\) metrics

Cites Work

• Unnamed Item
• Sharp Ul'yanov-type inequalities using fractional smoothness
• Weak type inequalities for moduli of smoothness: The case of limit value parameters
• On moduli of smoothness of fractional order
• Ulyanov-type inequalities and generalized Liouville derivatives
• Mixed Moduli of Smoothness in $L_p$, $1<p<\infty$

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