Averages andK-Functionals Related to the
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Z Ditzian; K Runovskii
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Article
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1999
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Elsevier Science
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English
β 190 KB
For R d or T d , averages on balls and spheres are shown to satisfy an equivalence relation with K-functionals that are generated by the Laplacian. The converse result is given in terms of strong converse inequality of type A and type D for the averages on the Ball and on the sphere, respectively. C