Equivalence of K-functionals and modulus of smoothness for fourier transform
چکیده
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.
کلید واژگان
Fourier Transformspherical mean operator
K-functionals
modulus of smoothness
شماره نشریه
2تاریخ نشر
2012-06-011391-03-12
ناشر
Semnan Universityسازمان پدید آورنده
Department of Mathematics, Faculty of Science A n Chock, University Hassan II, Casablanca, MoroccoDepartment of Mathematics, Faculty of Science A n Chock, University Hassan II, Casablanca, Morocco
