Equivalence of K-functionals and modulus of smoothness for fourier transform

Authors

  • M. El Hamma Department of Mathematics, Faculty of Science An Chock, University Hassan II, Casablanca, Morocco
  • R. Daher Department of Mathematics, Faculty of Science An Chock, University Hassan II, Casablanca, Morocco
Abstract:

In Hilbert space L2(Rn), we prove the equivalence between the mod-ulus of smoothness and the K-functionals constructed by the Sobolev space cor-responding to the Fourier transform. For this purpose, Using a spherical meanoperator.

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Journal title

volume 3  issue 2

pages  38- 43

publication date 2012-06-01

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