Abstract
In this paper we study the approximation on set of full measure for functions in Sobolev spaces L 1m (R n) (m∈ℕ) by Bochner-Riesz means of conjugate Fourier integrals below the critical index. A theorem concerning the precise approximation orders with relation to the number m of space L 1m (R n) and the index of Bochner-Riesz means is obtained.
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Shiming, W. Approximation of Bochner-Riesz means of conjugate Fourier integrals below the critical index. Approx. Theory & its Appl. 10, 32–42 (1994). https://doi.org/10.1007/BF02836238
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DOI: https://doi.org/10.1007/BF02836238