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Equivalence of K-Functionals and Modulus of Smoothness for Fourier Transform
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نویسنده
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Daher R. ,El Hamma M.
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منبع
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international journal of nonlinear analysis and applications - 2012 - دوره : 3 - شماره : 2 - صفحه:38 -43
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چکیده
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In hilbert space l^2(r^n), 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.
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کلیدواژه
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Fourier Transform ,Spherical Mean Operator ,K-Functionals ,Modulus of Smoothness.
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آدرس
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University Hassan II, Faculty of Science Ain Chock, Department of Mathematics, Morocco, University Hassan II, Faculty of Science Ain Chock, Department of Mathematics, Morocco
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Authors
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