Title of article
Equivalence of K-Functionals and Modulus of Smoothness for Fourier Transform
Author/Authors
Daher, R Department of Mathematics - Faculty of Science Ain Chock - University Hassan II- Casablanca, Morocco , El Hamma, M Department of Mathematics - Faculty of Science Ain Chock - University Hassan II- Casablanca, Morocco
Pages
6
From page
38
To page
43
Abstract
In Hilbert space L2(Rn), we prove the equivalence between the modulus of smoothness and the
K-functionals constructed by the Sobolev space corresponding to the Fourier transform. For this
purpose, Using a spherical mean operator.
Keywords
Fourier Transform , Spherical Mean Operator , K-Functionals , Modulus of Smoothness
Journal title
Astroparticle Physics
Serial Year
2012
Record number
2441858
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