This article is cited in 2 papers

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

A. Yu. Ulitskaya

Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics

Abstract: We describe all spaces that are generated by the equidistant shifts of a single function and realizing the sharp constants in various inequalities for the approximations of convolution classes on the real axis. Moreover, we find the average widths of the approximated function classes and provide the examples of extremal approximating subspaces.

Keywords: best approximation, shift space, sharp constant, convolution class.

UDC: 517.5

Received: 12.08.2022
Revised: 12.08.2022
Accepted: 10.10.2022

DOI: 10.33048/smzh.2023.64.116

 English version: Siberian Mathematical Journal, 2023, 64:1, 157–173

Bibliographic databases:

•