Inequalities refining relations between mixed moduli of smoothness in \(L_1\) and \(L_q\) metrics

DOI10.3103/S1066369X22020074MaRDI QIDQ2112329

B. V. Simonov, Mikhail K. Potapov

Publication date: 10 January 2023

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

metricinequalitymixed modulus of smoothness of fractional order

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Cites Work

• Unnamed Item
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• Sharp Ul'yanov-type inequalities using fractional smoothness
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• Trigonometric series of Nikol'skii classes
• Estimates of mixed moduli of smoothness in metrics of \(L_q\) through mixed moduli of smoothness in metrics of \(L_1\)
• Nikolskii inequalities for trigonometric polynomials in different metrics
• Relations between moduli of smoothness in different metrics
• Analogues of Ulyanov Inequalities for Mixed Moduli of Smoothness