We obtain the decomposition representation of the norm of functions of many variables from the spaces B Ω p,θ (ℝd) 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 (ℝd) .
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 2, pp. 244–258, February, 2014.
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Myronyuk, V.V. Approximation of Functions of Many Variables from the Classes B Ω p,θ (ℝd) By Entire Functions of Exponential Type. Ukr Math J 66, 273–288 (2014). https://doi.org/10.1007/s11253-014-0928-5
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DOI: https://doi.org/10.1007/s11253-014-0928-5