Kolmogorov Widths for Analogs of the Nikol’skii–Besov Classes with Logarithmic Smoothness
- 38 Downloads
We establish the exact-order estimates of Kolmogorov widths and entropy numbers for analogs of the Nikol’skii–Besov classes with logarithmic smoothness.
Unable to display preview. Download preview PDF.
- 1.B. S. Kashin and V. N. Temlyakov, “On one norm and approximating characteristics of the classes of functions of many variables,” Teor. Funkts., Ser. Fiz.-Mat. Nauk, 25, 58–79 (2007).Google Scholar
- 3.S. A. Stasyuk, “Approximating characteristics of the analogs of Besov classes with logarithmic smoothness,”Ukr. Mat. Zh., 66, No. 4, 493–499 (2014); English translation: Ukr. Math. J., 66, No. 4, 553–560 (2014).Google Scholar
- 7.A. S. Romanyuk, Approximating Characteristics of the Classes of Periodic Functions of Many Variables [in Ukrainian], Proc. of the Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv (2012).Google Scholar
- 8.A. S. Romanyuk, “Estimates of the entropy numbers and ε-entropy for the classes of periodic functions of many variables,” in: Approximation Theory of Functions and Related Problems [in Ukrainian], Proc. of the Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, 11, No. 3 (2014), pp. 196–213.Google Scholar
© Springer Science+Business Media New York 2016