Sharp Ul'yanov inequalities for generalized Liouville-Weyl derivatives

DOI10.1007/s10476-017-0308-0zbMath1399.41018OpenAlexW2744367423MaRDI QIDQ682127

Juan-Miguel Gracia

Publication date: 13 February 2018

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-017-0308-0

zbMATH Keywords

modulus of smoothnessfractional derivativegeneral monotone sequenceUl'yanov-type inequalityLiouville-Weyl derivative

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• A concept of general monotonicity and applications
• Ulyanov-type inequalities and generalized Liouville derivatives
• Moduli of smoothness of functions and their derivatives
• Embedding theorems in constructive approximation
• Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
• THE IMBEDDING OF CERTAIN FUNCTION CLASSESH_p^ω

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