Approximation of Bochner-Riesz means of conjugate Fourier integrals below the critical index
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In this paper we study the approximation on set of full measure for functions in Sobolev spaces L m 1 (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 m 1 (R n) and the index of Bochner-Riesz means is obtained.
KeywordsBessel Function Full Measure Critical Index Fourier Integral Multiple Fourier Series
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