Approximation of Functions of Many Variables from the Classes $B_{p,θ}^{Ω} (ℝ^d)$ By Entire Functions of Exponential Type
Abstract
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 $L_q (ℝ^d)$.
English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 2, pp 273-288.
Citation Example: Myronyuk V. V. Approximation of Functions of Many Variables from the Classes $B_{p,θ}^{Ω} (ℝ^d)$ By Entire Functions of Exponential Type // Ukr. Mat. Zh. - 2014. - 66, № 2. - pp. 244–258.
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