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 Hp, 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.