Moduli of smoothness related to the Laplace-operator

DOI10.1007/S00041-014-9373-YzbMath1329.42002OpenAlexW2126759291MaRDI QIDQ498949

Konstantin V. Runovski, Hans-Juergen Schmeisser

Publication date: 29 September 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-014-9373-y

zbMATH Keywords

Fourier multipliersmoduli of smoothnessBochner-Riesz means\(K\)-functionalstrigonometric approximationBernstein-type theoremsJackson-type theorems

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Trigonometric approximation (42A10) Multipliers for harmonic analysis in several variables (42B15) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Summability in several variables (42B08)

Related Items (2)

Approximation by families of generalized sampling series, realizations of generalized \(\mathcal{K} \)-functionals and generalized moduli of smoothness ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

Cites Work

• On approximation methods generated by Bochner-Riesz kernels
• On convergence of families of linear polynomial operators
• Realization and smoothness related to the Laplacian
• Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\)
• Approximation by families of linear trigonometric polynomial operators and smoothness properties of functions
• A Measure of Smoothnes Related to the Laplacian
• Strong converse inequalities
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