N–Widths and Average Widths of Besov Classes in Sobolev Spaces

Author:

Xu* ** Gui Qiao,Sun* Yong Sheng,Liu* ** Yong Ping

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference16 articles.

1. Nikol’skii, S. M.: Approximation of Functions of Several Variables and Imbedding Theorems, Spring–Verlag, New York, 1975

2. Pinkus, A.: N–widths in approximation theory, Springer–Verlag, New York, 1985

3. Romanyuk, A. S.: Approximation for Besov–type classes of periodic functions in L q space. Ukraine Mat. Zh., 43(10), 1398–1408 (1991)

4. Romanyuk, A. S.: Optimal trigonometric approximation and Kolmogorov widths for Besov classes of multivariate functions. Ukraine Mat. Zh., 45(5), 663–675 (1993)

5. Romanyuk, A. S.: Kolmogorov widths for classes $$ B^{r}_{{p,\theta }} $$ of multivariate periodic functions with small smoothness in the space L q . Ukraine Mat. Zh., 46(7), 915–926 (1994)

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