Interrelations between partial moduli of smoothness in various mixed metrics

DOI10.3103/S0027132221050053zbMath1503.41007OpenAlexW4210577209MaRDI QIDQ2131403

B. V. Simonov, Mikhail K. Potapov

Publication date: 26 April 2022

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

Full work available at URL: https://doi.org/10.3103/s0027132221050053

zbMATH Keywords

inequalitymetricspartial modulus of smoothness of positive 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

• Sharp Ul'yanov-type inequalities using fractional smoothness
• 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 \(L_{p_1p_2}\)
• Weak type inequalities for moduli of smoothness: The case of limit value parameters
• Strengthened Ul'yanov's inequalities for partial moduli of smoothness for functions from spaces with various metrics
• Relations between moduli of smoothness in different metrics
• Ulyanov-type inequalities and generalized Liouville derivatives
• THE IMBEDDING OF CERTAIN FUNCTION CLASSESH_p^ω
• Unnamed Item

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