Jacobi weights, fractional integration, and sharp Ulyanov inequalities

DOI10.1016/j.jat.2014.05.005zbMath1321.41011arXiv1601.00814OpenAlexW2065591127MaRDI QIDQ2343167

Polina Yu. Glazyrina, Sergey Yu. Tikhonov

Publication date: 4 May 2015

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

Full work available at URL: https://arxiv.org/abs/1601.00814

zbMATH Keywords

fractional derivativeJacobi weightsHardy-Littlewood type inequalitiesDitzian-Totik moduli of smoothnessK-functionalsLandau type inequalitiessharp Ulyanov type inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities involving derivatives and differential and integral operators (26D10)

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Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\)

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