Liouville-weyl derivatives, best approximations, and moduli of smoothness

DOI10.1007/S10474-015-0485-XzbMath1363.42002OpenAlexW2069980652MaRDI QIDQ343198

Mohammad Hasan, M. Dambrine

Publication date: 25 November 2016

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

Full work available at URL: https://doi.org/10.1007/s10474-015-0485-x

zbMATH Keywords

modulus of smoothnessbest approximationgeneral monotone sequence

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Rate of convergence, degree of approximation (41A25) Monotonic functions, generalizations (26A48)

Related Items (2)

Transformation of Fourier series by means of general monotone sequences ⋮ Sharp Ul'yanov inequalities for generalized Liouville-Weyl derivatives

Cites Work

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• Trigonometric series with general monotone coefficients
• Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\)
• 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

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