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On moduli of smoothness and <Emphasis Type="Italic">K</Emphasis>-functionals of fractional order in the Hardy spaces |
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| Authors: | |
| Institution: | 1.Institute of Applied Mathematics and Mechanics of the NAS of Ukraine,Donetsk,Ukraine |
| Abstract: | We prove the equivalence of special moduli of smoothness and K-functionals of fractional order in the space H p , p > 0. As applications, we obtain an analog of the Hardy–Littlewood theorem and the sharp estimates of the rate of approximation of functions by generalized Bochner–Riesz means. |
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