Rearrangement invariance and relations among measures of smoothness

DOI10.1007/S10474-011-0171-6zbMath1265.41061OpenAlexW2062295432MaRDI QIDQ452847

Z. Ditzian

Publication date: 18 September 2012

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-011-0171-6

zbMATH Keywords

best approximationmoduli of smoothnessrearrangement invariancesharp Jackson inequalitysharp Marchaud inequality

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Inequalities in real analysis (26D99)

Related Items (3)

A modulus of smoothness for some Banach function spaces ⋮ Ulyanov-type inequalities between Lorentz-Zygmund spaces ⋮ New moduli of smoothness on the unit ball and other domains, introduction and main properties

Cites Work

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• Convexity, moduli of smoothness and a Jackson-type inequality
• Sharp Jackson inequalities
• Sharp Marchaud and converse inequalities in Orlicz spaces
• On the Marchaud-Type Inequality
• Equivalence of measures of smoothness in L_p(S^d-1), 1<p<∞
• GENERALIZATIONS OF THE WIRTINGER–NORTHCOTT INEQUALITY
• A modulus of smoothness on the unit sphere

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