Mixed modulus of smoothness with Muckenhoupt weights and approximation by angle

DOI10.1080/17476933.2018.1434626zbMath1405.42002OpenAlexW2792032823MaRDI QIDQ4646602

Ramazan Akgün

Publication date: 14 January 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2018.1434626

zbMATH Keywords

modulus of smoothnessMuckenhoupt weightsdirect theoreminverse theorem

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Simultaneous approximation (41A28) Inverse theorems in approximation theory (41A27)

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Cites Work

• Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes
• A sharp inequality of Jackson-Stechkin type in \(L_{2}\) and the widths of functional classes
• Mixed K-functionals: A measure of smoothness for blending-type approximation
• Problems in the approximation of \(2\pi \)-periodic functions by Fourier sums in the space \(L_2 (2\pi)\)
• Transformation of Fourier series using power and weakly oscillating sequences
• Improved inverse theorems in weighted Lebesgue and Smirnov spaces
• On the mean summability by Cesàro method of Fourier trigonometric series in two-weighted setting
• Jackson-type inequality for doubling weights on the sphere
• Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
• Mixed modulus of continuity in the Lebesgue spaces with Muckenhouptweights and their properties
• Mixed Moduli of Smoothness in $L_p$, $1<p<\infty$
• Realization and characterization of modulus of smoothness in weighted Lebesgue spaces
• Strong converse inequalities
• Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials
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