The K-functional and saturated linear approximation processes

DOI10.1007/s43670-023-00060-yzbMath1525.42003OpenAlexW4380538265MaRDI QIDQ6073513

Walter Trebels

Publication date: 16 September 2023

Published in: Sampling Theory, Signal Processing, and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43670-023-00060-y

zbMATH Keywords

saturation ordersaturated convolution approximation process

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Trigonometric approximation (42A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convolution, factorization for one variable harmonic analysis (42A85)

Cites Work

• Sur la saturation des procédés de sommation
• Zur Frage der Saturationsklassen singulärer Integraloperatoren
• On Fejér and Bochner-Riesz means
• Inequalities for moduli of smoothness versus embeddings of function spaces
• On determination of the class of saturation in the theory of approximation of functions. II
• Moduli of Smoothness and Rate of a.e. Convergence for Some Convolution Operators
• On determination of the class of saturation in the theory of approximation of functions
• A Measure of Smoothnes Related to the Laplacian
• On riesz-type inequalities and k-functionals related to riesz potentials in
• Limiting reiteration for real interpolation with slowly varying functions
• Lp -moduli of continuity of sections of functions
• Characterization of saturation classes in $L(R^{n})$
• Classes de saturation de certains procédés d'approximation des séries de Fourier des fonctions continues et applications à quelques problèmes d'approximation
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