Best Approximation of the Functions from Anisotropic Nikol’skii–Besov Classes Defined in ℝd

Author:

Yanchenko S. Ya.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference24 articles.

1. S. M. Nikol’skii, “Inequalities for entire functions of finite degree and their application to the theory of differential functions of many variables,” Tr. Mat. Inst. Akad. Nauk SSSR, 38, 244–278 (1951).

2. O. V. Besov, “Investigation of one family of function spaces in connection with the embedding and extension theorems,” Tr. Mat. Inst. Akad. Nauk SSSR, 60, 42–81 (1961).

3. S. M. Nikol’skii, Approximation of Functions of Many Variables and Embedding Theorems [in Russian], Nauka, Moscow (1969).

4. P. I. Lizorkin, “Generalized Hölder spaces B p , θ r $$ {B}_{p,\theta}^{(r)} $$ and their connection with the Sobolev spaces L p r $$ {L}_p^{(r)} $$ ,” Sib. Mat. Zh., 9, No. 5, 1127–1152 (1968).

5. P. I. Lizorkin, “Generalized Liouville differentiation and a method of multipliers in the theory of embeddings of the classes of differentiable functions,” Tr. Mat. Inst. Akad. Nauk SSSR, 105, 89–167 (1969).

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