\(q\)-moduli of continuity in \(H^{p}(\mathbb D)\), \(p>0\) and an inequality of Hardy and Littlewood

DOI10.1006/JATH.2001.3656zbMath1001.30031OpenAlexW1992866319MaRDI QIDQ696866

Walter Trebels, Yu. V. Kryakin

Publication date: 12 September 2002

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2001.3656

zbMATH Keywords

divided differencesHardy-Littlewood type inequality\(H^p\)-classes\(K_m\)-functional\(q\)-moduli of continuityapproximation in unit discBernstein-Nikol'ski-Stechkin-type inequalitiesgrowth of fractional derivatives

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Approximation in the complex plane (30E10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15)

Related Items (7)

Jackson's theorem on bounded symmetric domains ⋮ Polynomial approximation in Bergman spaces ⋮ Jackson's theorem in \(Q_{p}\) spaces ⋮ On moduli of smoothness and \(K\)-functionals of fractional order in the Hardy spaces ⋮ Holomorphic Jackson's theorems in polydiscs ⋮ Gradient estimates and Jackson's theorem in \(Q_\mu \) spaces related to measures ⋮ Some inequalities related to strong convergence of Riesz logarithmic means

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