Average dimension of shift spaces

DOI10.1134/S199508021805013XzbMath1400.41025OpenAlexW2837527297MaRDI QIDQ1785056

O. L. Vinogradov

Publication date: 27 September 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508021805013x

zbMATH Keywords

sharp constantsshift spacesaverage dimension

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

Sharp estimates for the mean-square approximations of convolution classes by shift spaces on the axis

Cites Work

• Sharp inequalities for approximations of convolution classes on the real line as the limit case of inequalities for periodic convolutions
• MEAN DIMENSION, WIDTHS, AND OPTIMAL RECOVERY OF SOBOLEV CLASSES OF FUNCTIONS ON THE LINE
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