Refinement of the relations between mixed smoothness moduli in \(L_1\) and \(L_q\) metrics

DOI10.1134/S0037446621040108zbMath1481.41008OpenAlexW3214965501MaRDI QIDQ820467

B. V. Simonov, Mikhail K. Potapov

Publication date: 27 September 2021

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

Full work available at URL: https://doi.org/10.1134/s0037446621040108

zbMATH Keywords

metricinequalitymixed smoothness modulus of fractional order

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Rate of convergence, degree of approximation (41A25)

Cites Work

• Unnamed Item
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• Sharp Ul'yanov-type inequalities using fractional smoothness
• On relations between moduli of continuity in different metrics
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• Weak type inequalities for moduli of smoothness: The case of limit value parameters
• 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
• Ulyanov-type inequalities and generalized Liouville derivatives
• Mixed Moduli of Smoothness in $L_p$, $1<p<\infty$
• THE IMBEDDING OF CERTAIN FUNCTION CLASSESH_p^ω
• IMBEDDING THEOREMS AND RELATIONS BETWEEN BEST APPROXIMATIONS (MODULI OF CONTINUITY) IN DIFFERENT METRICS

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