APPROXIMATION OF FUNCTIONS OF MANY VARIABLES FROM THE CLASSES B_(p,θ)~Ω(R~d) BY ENTIRE FUNCTIONS OF EXPONENTIAL TYPE

摘要

We obtain the decomposition representation of the norm of functions of many variables from the spaces B_(p,θ)~Ω(R~d) and establish the exact order estimates for the approximations of functions from the unit balls of these spaces by entire functions of exponential type in the space L_q(R~d).