Đặc điểm xấp xỉ của các lớp Nikol’skii–Besov $$ {S}_{1,\theta}^rB\left({\mathrm{\mathbb{R}}}^d\right) $$

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Wang, “Representation and approximation of multivariate periodic functions with bounded mixed moduli of smoothness,” Tr. Mat. Inst. Ros. Akad. Nauk, 219, 356–377 (1997). S. A. Stasyuk, “Best approximations and Kolmogorov and trigonometric widths of the classes \( {B}_{p,\theta}^{\varOmega } \) of periodic functions of many variables,” Ukr. Mat. Zh., 56, No. 11, 1557–1568 (2004); English translation:Ukr. Math. J., 56, No. 11, 1849–1863 (2004). S. A. Stasyuk and S. Ya. Yanchenko, “Approximation of functions from Nikolskii–Besov type classes of generalized mixed smoothness,” Anal. Math., 41, 311–334 (2015). S. Ya. Yanchenko, “Approximations of classes \( {B}_{p,\theta}^{\varOmega } \) of functions of many variables by entire functions in the space Lq(ℝd),” Ukr. Mat. Zh., 62, No. 1, 123–135 (2010); English translation:Ukr. Math. J., 62, No. 1, 136–150 (2010).