On Fejér and Bochner-Riesz means

DOI10.1007/S00041-005-5001-1zbMath1129.41007OpenAlexW2072296801MaRDI QIDQ818511

Z. Ditzian

Publication date: 21 March 2006

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

Full work available at URL: https://doi.org/10.1007/s00041-005-5001-1

zbMATH Keywords

Bochner-Riesz meansFejér meansstrong converse inequalitiesK-functionalsdirect estimates

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Rate of convergence, degree of approximation (41A25) Multipliers in one variable harmonic analysis (42A45) Inverse theorems in approximation theory (41A27)

Related Items (11)

Block-Sobolev spaces and the rate of almost everywhere convergence of Bochner-Riesz means ⋮ Approximation by Fourier means and generalized moduli of smoothness ⋮ Approximation of Fejér partial sums by interpolating functions ⋮ Almost everywhere convergence of Bochner-Riesz means on Hardy-Sobolev spaces ⋮ The K-functional and saturated linear approximation processes ⋮ On approximation methods generated by Bochner-Riesz kernels ⋮ Best constants of harmonic approximation on classes associated with the Laplace operator ⋮ Generalized Sampling Approximation of Bivariate Signals: Rate of Pointwise Convergence ⋮ Approximation by families of linear trigonometric polynomial operators and smoothness properties of functions ⋮ Besov spaces with generalized smoothness and summability of multiple Fourier series ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

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